Hello Everyone!. I have an exam coming up in a few days and I wanted to see how
ID: 2259813 • Letter: H
Question
Hello Everyone!. I have an exam coming up in a few days and I wanted to see how someone else answers these questions. It is from a college physics 2 class. Electrical physics questions. If you guys want to answer these and show your work and any equations you use it would be helpful. I can get through most of them but it would be helpful to see how other people also get through them. The answer key is also here so that should help you know you get the right answer. Have fun. I have another question like this i just posted so if you want to take a shot at that one after this then thats cool. It is similar stuff so if this easy then it is an easy way for you to double your points. Quality of answers will get the points not speed.
Answer Key:
1: 5
2: 1
3: 5
4: 5
5: 1
6: 4
7: 3
8: 2
9: 3
10: 2
11: 1
12: 5
13: 5
14: 4
15: 4
Explanation / Answer
1:5)
The magnetic field through the loop is out of the page and is increasing if we move the loop down. And therefore aclockwise current induces in the loop according to the Lenz's law.
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2:1)
flux = A B cos(theta) = A B cos(90) = 0
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3:5)
emf = d(phi)/dt = N A (dB/dt) = 5000*4e-4*(0.25/1) = 0.5 V
i = emf/R = 0.5/0.4 = 1.25 A
current is counter-clockwise, according to the Lenz's law.
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4:5)
emf = d(phi)/dt = (B L dx)/dt = B L v
i = emf/R = B L v/R = (6*0.2*5)/2 = 3 A
current is counter-clockwise, according to the Lenz's law... as the rod moves to the right, flux increases and according to the Lenz's law a current must be induces counter-clockwise to decrease the flux.
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5:1)
V = 80 - 70 = 10 V
i = V/R = 10/10 = 1 ohms
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6:4)
N2/N1 = V2/V1
N2 = (V2/V1) N1 = (345/30) * 80 = 920 turns
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7:3)
i = V/R = 10/2 = 5 A
energy = 0.5 L i^2 = 0.5 * 0.040 * (5)^2 = 0.5 J
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8:2)
B = u0 N i/L
==> emf = d(phi)/dt = d(N A B)/dt = N A dB/dt = N A u0 N/L (di/dt) =N pi R^2 u0 N/L (di/dt)
==> emf = N pi R^2 u0 N/L (di/dt) = 500*3.1416*0.02*0.02*4*3.1416e-7*500/0.30 * 2 = 2.63 mV
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9:3)
when the switch is closed, a magnetic field is induced in the iron cylinder. the magnetic field is increases and therefore according to the Lenz's law, a magnetic field must be induce to the left. Therefore a current must be from A to B.
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10:2)
V_max = 50 V
i_max = V_max/R = 50/20 = 2.5 A
i_rms = i_max/sqrt(2) = 2.5/sqrt(2) = 1.77 A
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11:1)
i_max = V_max/X
==> X = V_max/i_max = 170/0.2827 = 601.34 ohms
X = 1/(w C) = 1/(2 pi f C)
==> C = 1/(2 pi f X) = 1/(2*3.1416*60*601.34) = 4.41 x 10^-6 F = 4.41 uF
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12:5)
Z = V/i = 120/(1.2) = 100 ohms
X = 1/(2 pi f C) = 1/(2*3.1416*60*44.2e-6) = 60.01 ohms
Z = sqrt(R^2 + X^2)
==> R = sqrt(Z^2 - X^2) = sqrt(100^2 - 60.01^2) = 80 ohms
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13:5)
resonance ==> w = 1/(sqrt(L C))
==> (2 pi f)^2 = 1/(L C)
==> C = 1/(L (2 pi f)^2) = 1/(0.030*(2*3.1416*500)y2) = 3.38 x 10^-6 F = 3.38 uF
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in a ac inductor circuit the voltage wave have a
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