2016f inal pdf.wpS i SR your anewer 4· (10 points) A co of500 loops of wire, rad

Question

2016f inal pdf.wpS i SR your anewer 4· (10 points) A co of500 loops of wire, radius e02 m, is moved tom n ares of no magnetic field to an area with magnetic Beld 0.5 T in a time span of 0.2 seconds. (a) What was the average voltage induced in the cod (b) You mensure the current in the wire to be 0.3 A. What is the resistanoe of the coid? (c) Caleulate the power disipated the coll daring this time. (d) If an electron (charge 1.6 x 10-1 C) were to travel through the entire coll during this time, whst would be the change in its potential eserg? 5. (5 peista) For the wave shown In the diagrsm below, identify or calculate the following values: 0.4 m 03

Explanation / Answer

(a)

magnetic flux = N*B*A

voltage induced V = rate of change in magnetic flux

voltage induced V = N*A*dB/dt

voltage induced V = 500*pi*0.02^2*(0.5 - 0)/0.2

voltage induced V = 1.57 V

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(b)

current I = V/R

Resistance R = e/I = 1.57/0.3 = 5.23 ohms

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(c)

power dissipated P = I^2*R

P = 0.3^2*5.23 = 0.471 W

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(d)

work done = change in energy

change in energy   = V*q = 1.57*1.6*10^-19 = 2.512*10^-19 J

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