Sirindhorn International Institute of Technology Thammasat University at Rangsit. SCS 139: Problem Set 1

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1 Sirindhorn International Institute of Technology Thammasat University at Rangsit School of Information, Computer and Communication Technology SCS 139: Problem Set 1 Due date: Feb 8, 2013 (Friday) 1. [Halliday, Resnick, and Walker, 9E, P28.4] 2. [Halliday, Resnick, and Walker, 9E, P28.21] 3. [Halliday, Resnick, and Walker, 9E, P28.28] 4. [Halliday, Resnick, and Walker, 9E, P28.40] Page 1 of 1

2 SCS139 HW1 Monday, January 28, :46 PM SCS139 HW Page 1

3 SCS139 HW Page 2

4 SCS 139 Dr.Prapun: Problem Set 2 Due date: Feb 15, 2013 (Friday) 1. [HRW, 9E, Q29.12] In Figure 1, two long straight wires at separation d = 16.0 cm carry currents i 1 = 3.61 ma and i 2 = 3.00i 1 out of the page. (a) Where on the x axis is the net magnetic field equal to zero? (b) If the two currents are doubled, is the zero-field point shifted toward wire 1, shifted toward wire 2, or unchanged? Figure 1: [HRW, 9E, Fig ] 2. [HRW, 9E, P29.15] Figure 2 shows two current segments. The lower segment carries a current of i 1 = 0.40 A and includes a semicircular arc with radius 5.0 cm,angle 180, and center point P. The upper segment carries current i 2 = 2i 1 and includes a circular arc with radius 4.0 cm, angle 120, and the same center point P. What are the (a) magnitude and (b) direction of the net magnetic field B at P for the indicated current directions? What are the (c) magnitude and (d) direction of if i 1 is reversed? Figure 2: [HRW, 9E, Fig ] Page 1 of 2

5 3. [HRW, 9E, P29.36] In Figure 3, five long parallel wires in an xy plane are separated by distance d = 8.00 cm, have lengths of 10.0 m, and carry identical currents of 3.00 A out of the page. Each wire experiences a magnetic force due to the other wires. In unit-vector notation, what is the net magnetic force on (a) wire 1, (b) wire 2, (c) wire 3, (d) wire 4, and (e) wire 5? Figure 3: [HRW, 9E, Fig ] 4. [HRW, 9E, P29.46] Eight wires cut the page perpendicularly at the points shown in Figure 4. A wire labeled with the integer k (k = 1, 2,..., 8) carries the current ki, where i = 4.50 ma. For those wires with odd k, the current is out of the page; for those with even k, it is into the page. Evaluate B ds along the closed path in the direction shown. Figure 4: [HRW, 9E, Fig ] Page 2 of 2

6 SCS139 HW2 Saturday, February 02, :20 PM SCS139 HW Page 1

7 SCS139 HW Page 2

8 SCS139 HW Page 3

9 SCS 139 Dr.Prapun: Problem Set 3 Due date: Feb 22, 2013 (Friday) 1. [HRW, 9E, P29.52] A solenoid 1.30 m long and 2.60 cm in diameter carries a current of 18.0 A. The magnetic field inside the solenoid is 23.0 mt. Find the length of the wire forming the solenoid. 2. [HRW, 9E, P30.2] A certain elastic conducting material is stretched into a circular loop of 12.0 cm radius. It is placed with its plane perpendicular to a uniform T magnetic field. When released, the radius of the loop starts to shrink at an instantaneous rate of 75.0 cm/s. What emf is induced in the loop at that instant? 3. [HRW, 9E, P30.4] A wire loop of radius 12 cm and resistance 8.5 is located in a uniform magnetic field B that changes in magnitude as given infigure 1. The vertical axis scale is set by B s = 0.50 T, and the horizontal axis scale is set by t s = 6.00 s. The loop s plane is perpendicular to B. What emf is induced in the loop during time intervals (a) 0 to 2.0 s, (b) 2.0 s to 4.0 s, and (c) 4.0 s to 6.0 s? Figure 1: [HRW, 9E, Fig ] 4. [HRW, 9E, P30.54] In Figure 2, = 100 V, R 1 = 10.0, R 2 = 20.0, R 3 = 30.0, and L = 2.00 H. Immediately after switch S is closed, what are (a) i 1 and (b) i 2? (Let currents in the indicated directions have positive values and currents in the opposite directions have negative values.) A long time later, what are (c) i 1 and (d) i 2? The switch is then reopened. Just then, what are (e) i 1 and (f) i 2? A long time later, what are (g) i 1 and (h) i 2? Page 1 of 2

10 Figure 2: [HRW, 9E, Fig ] Page 2 of 2

11 SCS139 HW3 Friday, February 15, :02 PM SCS139 HW Page 1

12 SCS139 HW Page 2

13 SCS139 HW Page 3

14 SCS139 HW Page 4

15 SCS 139 Dr.Prapun: Problem Set 4 Due date: None 1. A current through an element in a circuit can be described by 8cos 500 t 25 i t A a. What is the amplitude of the current? b. What is its angular frequency? c. Find the frequency of the current. d. Calculate is at t = 2 ms. Hint: None of these are correct: 7.25, 7.93, 6.939, , -7.93, , Express the following signals in their standard forms. a. v(t) = 21 cos(4t-15 o ) V b. i(t) = -8 sin(10t+70 o ) ma c. v(t) = 120 sin (10t 50 o ) V d. i(t) = -60cos(30t +10 o ) ma 3. [HRW, 9E, P33.1] A certain helium neon laser emits red light in a narrow band of wavelengths centered at nm and with a wavelength width of nm. What is the corresponding frequency width for the emission? 4. [HRW, 9E, P33.12] In a plane radio wave the maximum value of the electric field component is 5.00 V/m. Calculate the maximum value of the magnetic field component. Page 1 of 1

16 SCS139 HW Page 1 SCS139 HW4 Tuesday, February 19, :06 PM

17 SCS139 HW Page 2

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