Kirchhoff s Voltage Law and RC Circuits


 Malcolm Chandler
 1 years ago
 Views:
Transcription
1 Kirchhoff s oltage Law and RC Circuits Apparatus batteries 2 battery holders DC Power Supply 1 multimeter 1 capacitance meter 2 voltage probes 1 long bulb and 1 round bulb 2 sockets 1 set of alligator clips 2 pairs of red and black banana clips 3 10Ω resistors (brownblackblack 1 51Ω resistor (greenbrownblack Ω resistor (brownblackbrown 1 39Ω resistor (orangewhiteblack kΩ resistor 1 47kΩ resistor 2 10 µf capacitors Goal In this experiment, you will: 1. learn how to measure voltage with a voltmeter and verify the loop rule (Kirchhoff s oltage Law) for resistors in series. 2. connect resistors in parallel and verify that the voltage across resistors in parallel is the same. 3. measure the voltage across the resistor and the voltage across the capacitor for a charging capacitor in an RC circuit; repeat the measurements for a discharging capacitor in an RC circuit. Measuring oltage for Resistors in Series Introduction You can measure the potential difference (or voltage) between any two locations in a circuit using the multimeter. To set the meter up to measure potential difference, plug the red lead into the socket labeled ΩHz and turn the dial to the green 20 in the section labeled DC. When set up like this the meter is referred to as a voltmeter because it will measure potential difference which has units of volts. When we measured current, we had to break the circuit open and make the ammeter part of the circuit. When measuring potential difference, we do NOT have to do this. To measure the potential difference between two locations simply touch one lead to one location and touch the other lead to the other location. The readout gives you the potential of the red lead minus the potential of the black lead ( ). For example, imagine you touch the red lead to the positive side of a battery and the black lead to the negative side and you get a reading of 1.5. This means that the potential at the positive side of the battery (where the red lead is) is 1.5 higher than the potential at the negative side of the battery (where the black lead is). Try this with your battery. What do you get? 1
2 Now, switch the leads. Put the red lead on the negative side of the battery and the black lead on the positive side. How does the reading change? Why do you think the reading is like this now? Procedure 1. Set up a 3.0 battery and a round bulb as shown below, including a picture of the circuit and the corresponding circuit diagram. Use two 1.5 batteries in series to get a 3.0 battery. Note: the terminal voltage of the battery will not be exactly 3.0 as you will see. Figure 1: 2. Measure the potential difference across the battery (across points A and B in the circuit diagram). AB = Which side of the battery is at a higher potential? 3. Measure the potential difference across the bulb (across points C and D in the circuit diagram). CD = 2
3 Which side of the bulb is at a higher potential? 4. Set up the circuit below with the round bulb and and oblong bulb. Figure 2: 5. Measure the potential difference across the battery (across points A and B in the circuit diagram). AB = 6. Measure the potential difference across the first bulb (across points C and D in the circuit diagram). CD = 7. Measure the potential difference across the second bulb (across points E and F in the circuit diagram). EF = Analysis According to the Loop Rule (Kirchhoff s oltage Law, the sum of the voltages around a closed loop is zero. Thus, if we start at point B in the circuit, BA + CD + BA = 0 Since BA = AB as you saw earlier when you switched the leads for the multimeter when measuring the voltage across the battery, then AB + CD + BA = 0 AB = CD + BA batt =
4 Using the voltages that you measured, verify that the above equation from the Loop Rule describes the voltages across the elements in your circuit. Two or more resistors in series are called a voltage divider. Why do you suppose it s called a voltage divider? The current through each resistor is the same. Using Ohm s law in your reasoning, which bulb has a higher resistance? oltage for Resistors in Parallel Procedure 1. Set up the circuit as shown below, with the round bulb and oblong bulb in parallel. Figure 3: 2. Make a prediction. Will the potential differences across each of the bulbs be less than, greater than, or equal to the potential difference across the battery? 4
5 3. Measure the potential difference across the battery (across points A and B in the circuit diagram). AB = 4. Measure the potential difference across the first bulb (across points C and D in the circuit diagram). CD = 5. Measure the potential difference across the second bulb (across points E and F in the circuit diagram). EF = Do your measurements match your predictions? If not, explain. 6. Instead of connecting clips from the second bulb to the first bulb, connect them directly to the battery as shown below. Figure 4: Are the bulbs still in parallel? Support your answer with measurements of the voltage across each bulb and the battery. 5
6 Analysis 1. Suppose that you have the circuit shown below, with a 2 battery, R 1 = 51 Ω, R 2 = 100 Ω, R 3 = 39 Ω, and R4 = 10 Ω. Apply Kirchhoff s Laws, as learned in class, to calculate the current through each resistor and the voltage across each resistor. Show all of your work. Note that you should have one node (or junction) equation and two loop equations. Figure 5: 2. Set up this circuit using your resistors and the DC power supply. Ask me to check it before you turn on the power supply. 3. Measure the voltage across each resistor with your voltmeter. 1 = 2 = 3 = 4 = 4. Compare the measured voltages to what you calculated theoretically. Comment on the significance of any differences. 6
7 RC Circuit Setting up your circuit In this experiment, you will investigate a charging capacitor and a discharging capacitor 1. Set up the circuit shown below, but do not turn on the power supply. Figure 6: Use a 100 kω resistor and a 10 µf capacitor. The capacitor should be connected with the long lead on the high potential side and the short lead on the low potential side. The power supply is like a battery, though it maintains a more nearly constant potential difference across its terminals than a battery. It is technically called a voltage source. If there are red, black, and green terminals, connect the black terminal to the green terminal. Set the voltage of the power supply to 3.0. Use a voltmeter to verify that it is Note that between the resistor and power supply, there are two alligator clips. This is so that you can disconnect the circuit at this node, and connect the resistor to the charged capacitor and thereby discharge the capacitor as shown below. 3. Study the circuit above and describe what will happen when the alligator clip is in each of the two possible positions. Sketch the direction of the current at t=0 (when the wires are first connected) in each case. Assume that in the first circuit, the capacitor has zero charge at t=0 when the circuit is connected. Then, the alligator clip is switched and the capacitor is fully charged at t=0 when the circuit is connected. We will refer to the alligator clip that you connect or disconnect as a switch. 7
8 Figure 7: Charging capacitor In this part of the experiment, you will determine the mathematical function that describes a charging capacitor. 1. Discharge the capacitor by changing the position of the switch such that the capacitor is connected to the resistor (and no current will flow through the power supply). 2. Connect a voltmeter across the terminals of the battery to check the potential difference across the power supply. It should be slightly less than 3 volts. 3. Insert a differential voltage probe into Channel 1 of the LabPro. 4. Connect the leads of the voltage probe across the capacitor with the red lead on the high potential side of the capacitor and the black lead on the low potential side of the capacitor. 5. Connect the second differential voltage probe to Channel 2 of the LabPro and connect it across the resistor to measure the resistor s voltage. 6. Open the Logger Pro software. 7. Just to be sure that it s working, click the Collect button on the top toolbar. You should see a graph of the potential difference across the capacitor and resistor plotted in realtime. You may click Stop to stop data collection prematurely. 8. It should read zero; if not, then zero the probes. 9. When you are ready to collect data, click the Collect button. Shortly after data collection begins, switch the alligator clip, thus connecting the power supply to the resistor and capacitor. 10. You should see the potential difference across the capacitor increase. 11. Once the capacitor is fully charged, stop collecting data by clicking the Stop button. 12. Note that the time when the capacitor started to charge is not zero. Record what time t the capacitor started to charge. 13. Now, make a new calculated column in Logger Pro called new time (or whatever you want to call it) and calculate the data for this column as t t 0 where t 0 is the initial time. This will give you a column for time that starts at t = 0. Be sure to name this variable with a unique short name, like tn for new time. You will use this variable when fitting a curve to the data. 14. Graph the potential difference across the capacitor as a function of new time. 15. Go to Analyze >Curve Fit.... 8
9 16. Enter an equation of the form A (1 exp( t/b)). Be sure to use the correct name for the time variable t that appears in the menu of functions. 17. Write down the mathematical function and values of the coefficients that fit the curve. 18. From this function, what is the final (maximum) voltage across the capacitor? 19. What is the time constant (the units are seconds). 20. What is the theoretical value for the time constant for this circuit? (τ = RC) 21. What is the maximum charge stored on the capacitor? (Q = C C ) 22. Use a 47 kω resistor and repeat the experiment. Make a prediction. Will the time constant be greater or less than with the 100 kω resistor. 9
10 What is the time constant in this case? By what factor did it change from the previous case? Discharging capacitor In this part of the experiment, you will determine the mathematical function that describes a discharging capacitor. 1. With the capacitor fully charged, begin collecting data for the potential difference across the capacitor. Shortly after starting data collection, throw the switch so that the capacitor is connected directly to the resistor (and the power supply is no longer part of the circuit). 2. Recalibrate the time scale just as before so that t=0 corresponds to the moment that you throw the switch. 3. Do a curve fit, this time using an exponential decay A exp( t/b). Again, use the correct variable for time. 4. Write the mathematical function that fits the curve. 5. What is the time constant for the discharging capacitor? Other graphs Based on analytical reasoning and your experience in this lab, sketch what you expect for the following graphs: Magnitude of the charge Q on each plate as a function of time for a charging capacitor Magnitude of the charge Q on each plate as a function of time for a discharging capacitor 10
11 Current as a function of time for a charging capacitor Current as a function of time for a discharging capacitor oltage across the resistor as a function of time for a charging capacitor oltage across the resistor as a function of time for a discharging capacitor Application 1. If you were to connect two 10 µf capacitors in series with each other, what would be the equivalent capacitance? How would it affect the time constant? Connect two capacitors in series and measure the time constant for charging or discharging capacitors and verify your prediction. 2. If you were to connect two 10 µf capacitors in parallel with each other, what would be the equivalent capacitance? How would it affect the time constant? Connect two capacitors in series and measure the time constant for charging or discharging capacitors and verify your prediction. 11
12 Lab Report Name: Lab Partners: Date: Description of experiment: 1. State Kirchhoff s voltage law. 2. What were your measured values and what were the theoretical values of the voltages across the resistors for the circuit in Figure 5? 3. What was the measured time constant for the RC circuit when you used R = 100 kω and C = 10 µf? What is the theoretical value of the time constant? (Measure R and C with a multimeter and use these values in the theoretical calculation.) 4. What was the measured time constant for the RC circuit when you used R = 47 kω and C = 10 µf? What is the theoretical value of the time constant? (Measure R and C with a multimeter and use these values in the theoretical calculation.) 5. When you placed two capacitors in series, what was the total capacitance? Explain the observations or measurements that led to your conclusion. 6. When you placed two capacitors in parallel, what was the total capacitance? Explain the observations or measurements that led to your conclusion. 7. For a charging capacitor, at an instant t, the voltage across the capacitor is C and the voltage across the battery is bat. Write an equation for the voltage across the resistor R in terms of these variables. 8. For a discharging capacitor, at an instant t, the voltage across the capacitor is C. Write an equation for the voltage across the resistor R in terms of the voltage across the capacitor. 12
Name: Lab Partner: Section:
Chapter 6 Capacitors and RC Circuits Name: Lab Partner: Section: 6.1 Purpose The purpose of this experiment is to investigate the physics of capacitors in circuits. The charging and discharging of a capacitor
More informationStoring And Releasing Charge In A Circuit
Storing And Releasing Charge In A Circuit Topic The characteristics of capacitors Introduction A capacitor is a device that can retain and release an electric charge, and is used in many circuits. There
More informationElectric Circuits II. Physics 133 Experiments Electric Circuits II 1
Physics 133 Experiments Electric Circuits II 1 Electric Circuits II GOALS To examine Ohm's Law: the pivotal relationship between voltage and current for resistors To closely study what current does when
More informationLab 5 RC Circuits: Charge Changing in Time Observing the way capacitors in RC circuits charge and discharge.
Print Your Name Lab 5 RC Circuits: Charge Changing in Time Observing the way capacitors in RC circuits charge and discharge. Print Your Partners' Names Instructions October 15, 2015October 13, 2015 Read
More informationE X P E R I M E N T 7
E X P E R I M E N T 7 The RC Circuit Produced by the Physics Staff at Collin College Copyright Collin College Physics Department. All Rights Reserved. University Physics II, Exp 7: The RC Circuit Page
More informationCapacitors. Evaluation copy
Capacitors Computer 24 The charge q on a capacitor s plate is proportional to the potential difference V across the capacitor. We express this relationship with q V =, C where C is a proportionality constant
More informationThe current that flows is determined by the potential difference across the conductor and the resistance of the conductor (Ohm s law): V = IR P = VI
PHYS1000 DC electric circuits 1 Electric circuits Electric current Charge can move freely in a conductor if an electric field is present; the moving charge is an electric current (SI unit is the ampere
More informationResistorCapacitor (RC) Circuits
ResistorCapacitor (RC) Circuits Introduction In this second exercise dealing with electrical circuitry, you will work mainly with capacitors, which are devices that are used to store charge for later
More informationExperiment 9 ~ RC Circuits
Experiment 9 ~ RC Circuits Objective: This experiment will introduce you to the properties of circuits that contain both resistors AND capacitors. Equipment: 18 volt power supply, two capacitors (8 µf
More informationSERIES AND PARALLEL RESISTORS
Lab 3. SERIES AND PARALLEL RESISTORS 3.1. Problem How do you measure resistance, voltage, and current in a resistor? How are these quantities related? What is the difference between a series circuit and
More informationPHY 101 Lab 7 on Electric circuits: Direct current circuits Your name: Other team members:
PHY 101 Lab 7 on Electric circuits: Direct current circuits Your name: Other team members: Goals: To explore the basic principles of electric circuits, and how to measure them. Materials: Electrical resistors
More informationDischarge of a Capacitor
Discharge of a Capacitor THEORY The charge Q on a capacitor s plate is proportional to the potential difference V across the capacitor. We express this with Q = C V (1) where C is a proportionality constant
More informationKirchhoff s Laws. Kirchhoff's Law #1  The sum of the currents entering a node must equal the sum of the currents exiting a node.
Kirchhoff s Laws There are two laws necessary for solving circuit problems. For simple circuits, you have been applying these equations almost instinctively. Kirchhoff's Law #1  The sum of the currents
More informationLab 10: Macroscopic View of RC Circuits
OBJECTIVES In this lab you will Use a voltmeter and ammeter to analyze a circuit Determine if components of the circuit are ohmic or nonohmic Calculate the internal resistance of a battery Measure the
More informationCAPACITORS: RC CIRCUITS
IUPUI PHYS 251 LAB Page 1 of 5 CAPACITORS: CIUITS OBJECTIVE To experimentally explore the timedependent relationships between charge, capacitance and potential in a resistorcapacitor () circuit EQUIPMENT
More informationRC Circuits and The Oscilloscope Physics Lab X
Objective RC Circuits and The Oscilloscope Physics Lab X In this series of experiments, the time constant of an RC circuit will be measured experimentally and compared with the theoretical expression for
More informationLab 3 Resistors in Series and Parallel
Lab 3 Resistors in Series and Parallel Safety and Equipment No special safety precautions are necessary for this lab. Computer with PASCO Capstone, PASCO 850 Universal Interface Multimeter with probes
More information8 RC Decay. Introduction:
8 RC Decay Introduction: A capacitor is a device for storing charge and energy. It consists of two conductors insulated from each other. A typical capacitor is called a parallelplate capacitor and is
More informationKirchhoff s Laws Physics Lab IX
Kirchhoff s Laws Physics Lab IX Objective In the set of experiments, the theoretical relationships between the voltages and the currents in circuits containing several batteries and resistors in a network,
More informationFigure 1: Capacitor circuit
Capacitors INTRODUCTION The basic function of a capacitor 1 is to store charge and thereby electrical energy. This energy can be retrieved at a later time for a variety of uses. Often, multiple capacitors
More informationCapacitors & RC Circuits
Capacitors & C Circuits Name: EQUIPMENT NEEDED: Circuits Experiment Board One Dcell Battery Wire leads Multimeter Capacitors(100 F, 330 F) esistors(1k, 4.7k ) Logger Pro Software, ULI Purpose The purpose
More informationDirect Current Circuits
Phys 2212L LAB 4 Direct Current Circuits Purpose In this laboratory, we will set up the three basic types of electric circuits: a series, a parallel and a combination circuit. We will use Ohm s Law and
More informationLecture PowerPoints. Chapter 19 Physics: Principles with Applications, 7th edition Giancoli
Lecture PowerPoints Chapter 19 Physics: Principles with Applications, 7th edition Giancoli This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching
More informationCapacitors GOAL. EQUIPMENT. CapacitorDecay.cmbl 1. Building a Capacitor
PHYSICS EXPERIMENTS 133 Capacitor 1 Capacitors GOAL. To measure capacitance with a digital multimeter. To make a simple capacitor. To determine and/or apply the rules for finding the equivalent capacitance
More informationEMF and Terminal Voltage Resistors in Series and Parallel Kirchhoff s Rules EMFs in Series and Parallel; Charging a Battery Circuits with Capacitors
Chapter 19 DC Electrical Circuits Topics in Chapter 19 EMF and Terminal Voltage Resistors in Series and Parallel Kirchhoff s Rules EMFs in Series and Parallel; Charging a Battery Circuits with Capacitors
More informationReview of Ohm's Law: The potential (V) across a resistor is given by Ohm's Law: Equation 1
Lab 5: DC Circuits Concepts Format Introduction to circuit construction Kirchhoff s rules Cookbook Last updated 9/26/06 Objectives The objectives of this lab are: 1) to construct an Ohmmeter (a device
More informationCapacitors. Goal: To study the behavior of capacitors in different types of circuits.
Capacitors Goal: To study the behavior of capacitors in different types of circuits. Lab Preparation A capacitor stores electric charge. A simple configuration for a capacitor is two parallel metal plates.
More informationExperiment 7: Ohm s Law & DC Circuits
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2009 OBJECTIVES Experiment 7: Ohm s Law & DC Circuits 1. To explore the measurement of voltage & current in circuits 2. To see Ohm
More informationPHYS 2426 Engineering Physics II EXPERIMENT 5 CAPACITOR CHARGING AND DISCHARGING
PHYS 2426 Engineering Physics II EXPERIMENT 5 CAPACITOR CHARGING AND DISCHARGING I. OBJECTIVE: The objective of this experiment is the study of charging and discharging of a capacitor by measuring the
More informationLab 3  OHM'S LAW AND KIRCHHOFF S CIRCUIT RULES
41 Name Date Partners Lab 3  OHM'S LAW AND KIRCHHOFF S CIRCUIT RULES AMPS  VOLTS OBJECTIVES To learn to apply the concept of potential difference (voltage) to explain the action of a battery in a circuit.
More informationLAB ELEC3.COMP From Physics with Computers, Vernier Software and Technology, 2003
APAITORS LAB ELE3.OMP From Physics with omputers, Vernier Software and Technology, 2003 INTRODUTION The charge q on a capacitor s plate is proportional to the potential difference V across the capacitor.
More informationLab 3  DC Circuits and Ohm s Law
Lab 3 DC Circuits and Ohm s Law L31 Name Date Partners Lab 3  DC Circuits and Ohm s Law OBJECTIES To learn to apply the concept of potential difference (voltage) to explain the action of a battery in
More informationTime Constant of a ResistorCapacitor Circuit
Activity 25 PS2826 Time Constant of a ResistorCapacitor Circuit Electricity: resistorcapacitor circuit, time constant GLX setup file: time constant Qty Equipment and Materials Part Number 1 PASPORT
More informationDC Circuits (Combination of resistances)
Name: Partner: Partner: Partner: DC Circuits (Combination of resistances) EQUIPMENT NEEDED: Circuits Experiment Board One Dcell Battery Wire leads Multimeter 100, 330, 1k resistors Purpose The purpose
More informationResistors in Series and Parallel
Resistors in Series and Parallel INTRODUCTION Direct current (DC) circuits are characterized by the quantities current, voltage and resistance. Current is the rate of flow of charge. The SI unit is the
More informationObjectives. to understand how to use a voltmeter to measure voltage
UNIT 10 MEASUREMENTS OF VOLTAGE (from Lillian C. McDermott and the Physics Education Group, Physics by Inquiry Volume II, John Wiley and Sons, NY, 1996) Objectives to understand how to use a voltmeter
More informationBasic DC Circuits. Electrical Quantity Description Unit Water Analogy Voltage or Potential Difference
Basic DC Circuits Current and voltage can be difficult to understand, because the flow of electrons and potential differences cannot be observed by the unaided human eye. To clarify these terms, some people
More informationLab 4  Ohm s Law and Kirchhoff s Circuit Rules
Lab 4 Ohm s Law and Kirchhoff s Circuit Rules L41 Name Date Partners Lab 4 Ohm s Law and Kirchhoff s Circuit Rules OBJECTIES To learn to apply the concept of potential difference (voltage) to explain the
More informationDischarging and Charging a Capacitor
Name: Partner(s): Desk #: Date: Discharging and Charging a Capacitor Figure 1. Various types of capacitors. "Capacitors (7189597135)" by Eric Schrader from San Francisco, CA, United States  12739s. Licensed
More informationElectronic Trainer. Combined Series and Parallel Circuits
Electronic Trainer Combined Series and Parallel Circuits In this lab you will work with a circuit combining series and parallel elements. You will use six resistors to create a circuit with two parallel
More informationPreLab for Discharge of a Capacitor
PreLab for Discharge of a Capacitor Just like resistors, the concept of equivalent capacitors can be used to simplify complex circuits of capacitors. For example, if capacitors C 1, C 2 and C 3 are connected
More informationR C DMM. b a. Power Supply. b a. Power Supply DMM. Red + Black  Red + Black 
Sample Lab Report  PHYS 231 The following is an example of a wellwritten report that might be submitted by a PHYS 231 student. It begins with a short statement of what is being measured, and why. The
More informationPhysics 260 Calculus Physics II: E&M. RC Circuits
RC Circuits Object In this experiment you will study the exponential charging and discharging of a capacitor through a resistor. As a byproduct you will confirm the formulas for equivalent capacitance
More informationSwitch. Q1.2: Starting at the power supply, describe how you think the current flows through the circuit when the switch is closed.
PHYSICS 133 EXPERIMENTS ELECTRICS CIRCUITS I 1 Electric Circuits I Goals To develop a model for how current flows in a circuit To see how a power supply provides current and voltage to a circuit To measure
More informationElectrical Circuits. Ammeter Light Bulb Ohmmeter. Power Supply Resistor Voltmeter. Symbols for Electrical Components.
Physical Science 101 Electrical Circuits Name Partner s Name Purpose To learn how to measure resistance, voltage, and current using a multimeter. To become familiar with the basic components of simple
More informationExperiment 3 Ohm s Law and Resistance
Name Partner(s): Experiment 3 Ohm s Law and Resistance Objectives Equipment Preparation PreLab To demonstrate how Ohm s Law is used to define resistance. 1 DC Regulated Power Supply: a source of variable
More informationChapter 7 DirectCurrent Circuits
Chapter 7 DirectCurrent Circuits 7. Introduction...77. Electromotive Force...73 7.3 Resistors in Series and in Parallel...75 7.4 Kirchhoff s Circuit Rules...77 7.5 VoltageCurrent Measurements...79
More informationGeneral Physics 202 Lab.
Faculty of Science General Physics 202 Lab. Lab Reports Second Semester 1433/1434 H General Physics Lab 202 Student Name: Student No.: Group No.: Experiment No. 1: Electric Field Mapping. Aims of the experiment:
More informationElectrical Fundamentals Module 3: Parallel Circuits
Electrical Fundamentals Module 3: Parallel Circuits PREPARED BY IAT Curriculum Unit August 2008 Institute of Applied Technology, 2008 ATE310 Electrical Fundamentals 2 Module 3 Parallel Circuits Module
More informationExperiment: RC Circuits
Phy23: General Physics III Lab page 1 of 5 OBJETIVES Experiment: ircuits Measure the potential across a capacitor as a function of time as it discharges and as it charges. Measure the experimental time
More informationChapter 19 DC Circuits
Lecture PowerPoints Chapter 19 Physics: Principles with Applications, 6 th edition Giancoli Chapter 19 DC Circuits 2005 Pearson Prentice Hall This work is protected by United States copyright laws and
More informationLab 6 SeriesParallel DC Circuits
Page 1 of 5 Name: ECET 231  Circuit Analysis I Lab 6 SeriesParallel DC Circuits Objective: Lab Report: Equipment: Students successfully completing this lab will accomplish the following objectives: 1.
More informationExperiment #6, Series and Parallel Circuits, Kirchhoff s Laws
Physics 182 Spring 2013 Experiment #6 1 Experiment #6, Series and Parallel Circuits, Kirchhoff s Laws 1 Purpose Our purpose is to explore and validate Kirchhoff s laws as a way to better understanding
More informationName: Partner: Date: RC Circuit Analysis Lab Experiment t RC
Name: Partner: Date: RC Circuit Analysis Lab Experiment t RC VC () t = VS + ( VC, initial VS ) e ε A 0 q C = C = τ = ReqC d V 1. Solve the V C (t) equation above for t. 2. Solve the V C (t) equation above
More informationR A _ + Figure 2: DC circuit to verify Ohm s Law. R is the resistor, A is the Ammeter, and V is the Voltmeter. A R _ +
Physics 221 Experiment 3: Simple DC Circuits and Resistors October 1, 2008 ntroduction n this experiment, we will investigate Ohm s Law, and study how resistors behave in various combinations. Along the
More informationCAPACITOR CHARGE/DISCHARGE 2  LQ
CAPACITOR CHARGE/DISCHARGE 2  LQ PURPOSE The purpose of this lab is to examine the pattern of voltage vs. time and current vs. time for charging and discharging capacitors. In the process, you will examine
More informationResistors in Series and Parallel Circuits
69 Resistors in Series and Parallel Circuits E&M: Series and parallel circuits Equipment List DataStudio file: Not Required Qty s Part Numbers 1 C/DC Electronics Lab EM8656 2 D cell 1.5 volt Introduction
More informationKirchhoff s Laws, Internal Resistance of a Battery, Oscilloscopes, RC Circuits
Kirchhoff s Laws, nternal Resistance of a Battery, Oscilloscopes, RC Circuits 1 Object To study Kirchhoff s Laws, internal resistance, oscilloscopes, and RC circuits. 2 Apparatus Resistors, power supply,
More informationLab Tips Students must have experience with a digital multimeter and know how to use it to measure voltage, current, and resistance.
Teacher s Notes Main Topic Subtopic Learning Level Technology Level Activity Type Electricity Current Electricity High Low Student Description: Students build and draw parallel and series circuits, observe
More informationPHYSICS 111 LABORATORY Experiment #3 Current, Voltage and Resistance in Series and Parallel Circuits
PHYSCS 111 LABORATORY Experiment #3 Current, Voltage and Resistance in Series and Parallel Circuits This experiment is designed to investigate the relationship between current and potential in simple series
More informationLAB 5  CAPACITORS AND RC CIRCUITS(TPL2)
LAB 5  CAPACITORS AND RC CIRCUITS(TPL2) Objectives To define capacitance. To discover how the charge on a capacitor and the electric current change with time when a charged capacitor is placed in a circuit
More informationExperiment: Series and Parallel Circuits
Phy203: General Physics Lab page 1 of 6 Experiment: Series and Parallel Circuits OBJECTVES MATERALS To study current flow and voltages in series and parallel circuits. To use Ohm s law to calculate equivalent
More informationLab 5 RC Circuits. What You Need To Know: Physics 226 Lab
Lab 5 R ircuits What You Need To Know: The Physics In the previous two labs you ve dealt strictly with resistors. In today s lab you ll be using a new circuit element called a capacitor. A capacitor consists
More informationRC CIRCUIT. Figure 1. A simple capacitor circuit. OBJECTIVES: 1) Observe the charge up and decay of the voltage on a capacitor.
OBJECTIVES: APPARATUS: RC CIRCUIT 1) Observe the charge up and decay of the voltage on a capacitor. 2) Measure the time constant for the decay, τ = RC. 3) Observe that the sum of the voltage on the resistor
More informationExperiment 8 SeriesParallel Circuits
Experiment 8 SeriesParallel Circuits EL 111  DC Fundamentals By: Walter Banzhaf, E.K. Smith, and Winfield Young University of Hartford Ward College of Technology Objectives: 1. For the student to measure
More informationHow many laws are named after Kirchhoff?
Chapter 32. Fundamentals of Circuits Surprising as it may seem, the power of a computer is achieved simply by the controlled flow of charges through tiny wires and circuit elements. Chapter Goal: To understand
More informationCAPACITANCE IN A RC CIRCUIT
5/16 Capacitance1/5 CAPACITANCE IN A RC CIRCUIT PURPOSE: To observe the behavior of resistorcapacitor circuit, to measure the RC time constant and to understand how it is related to the time dependence
More informationEXPERIMENT 6 CHARGE SHARING BY CAPACITORS
60 6 I. THEORY EXPERIMENT 6 HARGE SHARING BY APAITORS The purpose of this experiment is to test the theoretical equations governing charge sharing by capacitors and to measure the capacitance of an "unknown"
More informationGENERAL SCIENCE LABORATORY 1110L Lab Experiment 6: Ohm s Law
GENERAL SCIENCE LABORATORY 1110L Lab Experiment 6: Ohm s Law OBJECTIVES: To verify Ohm s law, the mathematical relationship among current, voltage or potential difference, and resistance, in a simple circuit.
More informationHow Does it Flow? Electricity, Circuits, and Motors
How Does it Flow? Electricity, Circuits, and Motors Introduction In this lab, we will investigate the behavior of some direct current (DC) electrical circuits. These circuits are the same ones that move
More informationIf two circuit elements are in series, the same current must flow through them.
Physics E1b Expt. 2: DC Circuits Spring 2006 Introduction Preparation: Before coming to lab, read the lab handout and Giancoli Chapter 19, sections 191 through 193 plus section 198. Then prepare your
More informationLab 5: Simple Electrical Circuits
Lab 5: Simple Electrical Circuits Introduction: In this laboratory you will explore simple DC (direct current) electrical circuits. The primary goal of the lab will be to develop a model for electricity.
More informationSimple Circuits Lab. Names of Lab Partners:
Simple Circuits Lab Names of Lab Partners: Some Properties of Electric Circuits (Uses CCK only ) Learning Goals: Students will be able to Discuss basic electricity relationships Build circuits from schematic
More informationPHYSICS LAB. Capacitor. Date: GRADE: PHYSICS DEPARTMENT JAMES MADISON UNIVERSITY. Revision November 2002. Capacitor 21
PHYSICS LAB Capacitor Printed Names: Signatures: Date: Lab Section: Instructor: GRADE: PHYSICS DEPARTMENT JAMES MADISON UNIVERSITY Revision November 2002 Capacitor 21 Blank page Capacitor 22 CHARGING AND
More informationExperiment #5, Series and Parallel Circuits, Kirchhoff s Laws
Physics 182 Summer 2013 Experiment #5 1 Experiment #5, Series and Parallel Circuits, Kirchhoff s Laws 1 Purpose Our purpose is to explore and validate Kirchhoff s laws as a way to better understanding
More informationCHAPTER 28 ELECTRIC CIRCUITS
CHAPTER 8 ELECTRIC CIRCUITS 1. Sketch a circuit diagram for a circuit that includes a resistor R 1 connected to the positive terminal of a battery, a pair of parallel resistors R and R connected to the
More informationTutorial 12 Solutions
PHYS000 Tutorial 2 solutions Tutorial 2 Solutions. Two resistors, of 00 Ω and 200 Ω, are connected in series to a 6.0 V DC power supply. (a) Draw a circuit diagram. 6 V 00 Ω 200 Ω (b) What is the total
More information1) 10. V 2) 20. V 3) 110 V 4) 220 V
1. The diagram below represents an electric circuit consisting of a 12volt battery, a 3.0ohm resistor, R 1, and a variable resistor, R 2. 3. What is the total resistance of the circuit 1) 6.6 Ω 2) 10
More informationDC Electric Circuits: Resistors in Combination
DC Electric Circuits: Resistors in Combination Goals and Introduction Assuming you performed the lab activity DC Electric Circuits: Resistance and Ohm s Law, you saw how the potential difference across
More informationLab 4  Capacitors & RC Circuits
Lab 4 Capacitors & RC Circuits L41 Name Date Partners Lab 4 Capacitors & RC Circuits OBJECTIVES To define capacitance and to learn to measure it with a digital multimeter. To explore how the capacitance
More informationLab 9: Energy Conservation in Circuits & Charge on a Capacitor
Part (1) Energy Conservation in Circuits OBJECTIVES In this part of the lab you will Write the energy conservation equation (loop rule) for several pairs of circuits Predict the relation between the currents
More informationThe Nerve as a Capacitor
HPP Activity 72v1 The Nerve as a Capacitor Exploration  How Does a Neuron Transmit a Signal? Electrical processes are essential to the working of the human body. The transmission of information in the
More informationCircuits. Page The diagram below represents a series circuit containing three resistors.
Name: Circuits Date: 1. Which circuit segment has an equivalent resistance of 6 ohms? 4. The diagram below represents a series circuit containing three resistors. 2. Base your answer to the following question
More informationCapacitors. V=!f_. Figure 1
Computer Capacitors 24 The charge q on a capacitor's plate is proportional to the potential difference V across the capacitor. We express this relationship with V=!f_ c where C is a proportionality constant
More information6. RC Circuits* a (b) Which way do the electrons move in the upper wire? c R 61. * William A Schwalm RC Circuits
6. RC Circuits* Objective: You will become familiar with the fact that the current flowing to or from a capacitor plate is the same as charge flow onto or off from the plate. You will see that in simple
More informationKirchhoff's Rules and Applying Them
[ Assignment View ] [ Eðlisfræði 2, vor 2007 26. DC Circuits Assignment is due at 2:00am on Wednesday, February 21, 2007 Credit for problems submitted late will decrease to 0% after the deadline has passed.
More informationOhm s Law. Electrical Quantity Description Unit Water Analogy Voltage or Potential Difference
Ohm s Law Experiment 25 The fundamental relationship among the three important electrical quantities current, voltage, and resistance was discovered by Georg Simon Ohm. The relationship and the unit of
More information= (0.400 A) (4.80 V) = 1.92 W = (0.400 A) (7.20 V) = 2.88 W
Physics 2220 Module 06 Homework 0. What are the magnitude and direction of the current in the 8 Ω resister in the figure? Assume the current is moving clockwise. Then use Kirchhoff's second rule: 3.00
More informationCurrent Electricity Lab Series/Parallel Circuits. Safety and Equipment Precautions!
Current Electricity Lab Series/Parallel Circuits Name Safety and Equipment Precautions! Plug in your power supply and use ONLY the D.C. terminals of the power source, NOT the A. C. terminals. DO NOT touch
More informationBatteries and Bulbs. (A study of simple directcurrent circuits)
Goals: (A study of simple directcurrent circuits) To learn to use a digital multimeter as an ammeter and a voltmeter To demonstrate the loop rule for potential differences To understand the role of batteries,
More informationRC CIRCUIT. THEORY: Consider the circuit shown below in Fig. 1: a S. V o FIGURE 1
RC CIRCUIT OBJECTIVE: To study the charging and discharging process for a capacitor in a simple circuit containing an ohmic resistance, R, and a capacitance, C. THEORY: Consider the circuit shown below
More informationDC Circuits. 3. Three 8.0 resistors are connected in series. What is their equivalent resistance? a c b. 8.0 d. 0.13
DC Circuits 1. The two ends of a 3.0 resistor are connected to a 9.0V battery. What is the current through the resistor? a. 27 A c. 3.0 A b. 6.3 A d. 0.33 A 2. The two ends of a 3.0 resistor are connected
More informationIntroduction to Electric Circuits Discovering Simple, Series, and Parallel Circuits
30 Discovering Simple, Series, and Parallel Circuits This activity will allow you to explore circuits with a battery, wires, light bulbs, and a voltmeter. You will discuss with your lab partner ways of
More informationLab 7 RC Series Circuits Time Dependence
Lab 7 RC Series Circuits Time Dependence What You Need To Know: The Physics A capacitor is a device for storing charge. The capacitance C of a capacitor depends only on the geometry and material make up
More informationLab 3: Capacitance and RC circuits
2 Lab 3: Capacitance and RC circuits I. Before you come to lab... A. Read the following sections from Giancoli: 1. Chapter 24, sections 15 2. Chapter 26, sections 56 B. Read through this entire handout.
More informationOhm s and Kirchhoff s Circuit Laws. Abstract. Introduction and Theory. EE 101 Fall 2007 Date: Lab Section #: Lab #2
EE 101 Fall 2007 Date: Lab Section #: Lab #2 Name: Ohm s and Kirchhoff s Circuit Laws Abstract Rev. 20070725JPB Partner: Electrical circuits can be described with mathematical expressions. In fact, it
More informationCapacitors. We charge a capacitor by connecting the two plates to a potential difference, such as a battery:
RC Circuits PHYS 1112L Capacitors A capacitor is an electrical component that stores charge. The simplest capacitor is just two charged metal plates separated by a nonconducting material: In the diagram
More informationCapacitance Physics Lab VI
Capacitance Physics Lab VI Objective In this set of experiments, the properties of capacitors will be explored. In particular, the effect of the distance between the plates on the capacitance of a parallel
More informationPHYSICS 1040L LAB WHEATSTONE BRIDGE SERIES & PARALLEL RESISTANCES
PHYSICS 1040L LAB WHEATSTONE BRIDGE SERIES & PARALLEL RESISTANCES Object: To learn how to operate a Wheatstone Bridge and to verify the formulas for the combination of resistances. Apparatus: Slide wire
More information