1. A(n) 1.2 µF capacitor is initially connected to a 4.4 mH inductor in a LC cir
ID: 1288495 • Letter: 1
Question
1. A(n) 1.2 µF capacitor is initially connected to a 4.4 mH inductor in a LC circuit. Find the frequency of oscillation of this circuit.
2. We move a square loop of wire 2.7 cm on a side into a region of uniform magnetic field of 2.0 T with the plane of the loop perpendicular to the direction of the field. The loop is moving with a constant velocity of 1.5 m/s into the field region starting from a point outside the field. If the loop has a resistance of 5 ?, find the force on the loop as it just enters the magnetic field region. (Enter the magnitude.)
3. Which of the following everyday phenomenon are based on the Faraday's effect? (Select all that apply.)
a)playing one of your parent's ancient VHS tapes
b)swiping your credit/debit card at the market
c)using your TV remote to turn it on and off
d)playing a CD/DVDreading data from your computer's hard drive
Explanation / Answer
1.
The frequency of the oscillations is,
f = 1/ 2(pi)[LC]1/2
= 1 / (2)(pi)[(4.4x10-3 H)(1.2x10-6 F)]1/2
= 2190.3 Hz
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2.
The induced voltage in the loop is,
e = BvL
= (2.0 T)(1.5 m/s)(0.027 m)
= 0.081 V
The induced current in the loop is,
I = e/R
= 0.081 V / 5 ohms
= 0.0162 A
Thus, the magnetic force is,
F = BIL
= (2.0 T)(0.0162 A)(0.027 m)
= 8.748x10-4 N
= 8.75x10-4 N
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c.
Options (c) and (a) are correct.
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