A circular conductingloop of radius 25.0 cm is located in a region of homogeneou

Question

A circular conductingloop of radius 25.0 cm is located in a region of homogeneousmagnetic field of magnitude 0.900 T pointing perpendicular to theplane of the loop. The loop is connected in series with a resistorof 163 ?. The magnetic field is now increased at a constant rate bya factor of 2.10 in 25.0s.

a-Calculate the magnitude of the induced emf in the loop while themagnetic field is increasing.

b-Calculate the magnitude of the currentinduced in the loop while the field is increasing.

c-With the magnetic field held constant atits new value of 1.89 T, calculate the magnitude of the averageinduced voltage in the loop while it is pulled horizontally out ofthe magnetic field region during a time interval of 3.30s.

Explanation / Answer

(a) induced emf = A (B final - B initial) / time = .        = *0.2502 * (2.10*0.900 - 0.900) / 25.0 =    0.007775Volts . (b) induced current = emf / resistance = 0.007775 / 163 = 4.77 x 10-5 A . (c) induced voltage = A B / time = * 0.2502 * 1.89 / 3.30 =   0.1125Volts

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