1. If the magnitude of the potential difference between points a and b is 5.4 V,

Question

1. If the magnitude of the potential difference between points a and b is 5.4 V, what is the radius of the loop?

A 1000-turn loop of wire is connected to a 20.0 ohm resistor as shown in the figure. A magnetic field is directed perpendicular to the plane of the loop. The field points into the paper and has a magnitude that varies in time as B=gt, where g=0.38 Tesla per second . Neglect the resistance of the wire. 1. If the magnitude of the potential difference between points a and b is 5.4 V, what is the radius of the loop?

Explanation / Answer

The induced emf is

E = - N dpi/ dt

E = N A dB/dt

= N pi r^2 dB/dt

r = sqrt E/ N pi ( dB/dt) = sqrt 5.4 V/ 1000 ( 3.14) 0.38 = 0.067 m or 6.7 cm

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