1) You are given a straight piece of conductor that is 5.7 cm long and moves in
ID: 1288829 • Letter: 1
Question
1) You are given a straight piece of conductor that is 5.7 cm long and moves in a region of uniform magnetic field of 2.1 T along the z-direction. If the conductor is oriented along the x-axis and moves in the y-direction with a velocity of 4.0 m/s, find the magnitude of induced voltage that will be produced between the ends of this moving conductor.
2) A circular coil of radius 16.0 cm is located in a region of magnetic field where B(t) = (+0.2 T/s)t and with the magnetic field oriented perpendicular to the plane of the loop. Find the magnutide of the induced EMF in this loop at t = 13.5 s.
3) We move a square loop of wire 2.0 cm on a side into a region of uniform magnetic field of 1.2 T with the plane of the loop perpendicular to the direction of the field. If the loop is moving with a constant velocity of 2.1 m/s into the field region starting from a point outside the field, find the maximum magnitude of the induced voltage in this loop as it enters the field region.
4) We move a square loop of wire 3.0 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 1.9 m/s into the field region starting from a point outside the field. If the loop has a resistance of 6 ?, find the force on the loop as it just enters the magnetic field region. (Enter the magnitude.)
5) Which of the following everyday phenomenon are based on the Faraday's effect? (Select all that apply.)
using your TV remote to turn it on and off
swiping your credit/debit card at the market
reading data from your computer's hard drive
playing one of your parent's ancient VHS tapes
playing a CD/DVD
Explanation / Answer
1. induced emf e = lvB
emf e = 0.057 * 4* 2.1
emf e = 0.4788 Volts
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2. induced emf e = NAdB/dt
emf e = 1 * 3.14* 0.16*0.16 * 0.2
emf e = 0.016 V
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3. induced emf e = LVB
emf e = 0.02*2.1* 1.2
emf e = 0.0504 V or 50.4 mV
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4. induced emf e = 0.03 * 1.9 * 2 = 0.114 V
induced current i = emf/R = 0.114/6 = 0.019 Amps
force F = iLB
F = 0.019 * 0.03 * 2
F = 1.14 milli Newtons or 0.00114 N
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5.. 5. swiping your credit/debit card at the market
playing one of your parent's ancient VHS tapes
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