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 zerofield 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 unitvector 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(4t15 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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