1. A generator coil is rotated through one-fourth of a revolution (from = 0º to

Question

1. A generator coil is rotated through one-fourth of a revolution (from = 0º to = 90º) in 11 ms. The 237-turn circular coil has a 4.7 cm radius and is in a uniform 1.96 T magnetic field which initially is pointing along the normal of the coil. What is the magnitude of the average emf (in V) induced?

Enter an integer

2.

In the figure, assume that R = 6.4 , d = 1.01 m, and a uniform 2.1 T magnetic field is directed into the page. At what speed (in m/s) should the bar be moved to produce 0.74 A in the resistor?

Enter a number with one digit behind the decimal point.

x x x x x x x x x x x x x x x x x x x x x x x x x x x x Ra — x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x

Explanation / Answer

1)

Magnitude of the average emf induced is given by:

e = N*d(phi)dt= N(phi)/t

We know,

phi = BA, where A = area = pi*r2

Thus,

e = NBA/t

= NB(pi*r2)/t

= 237*1.96*(pi*0.0472)/(11*10-3)

= 293V

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