A 30 turn square coil (length of side 12 cm) with a total resistance of 2.5 W is

Question

A 30 turn square coil (length of side 12 cm) with a total resistance of 2.5 W is placed in a uniform magnetic field directed perpendicularly to the plane of the coil. The magnitude of the field varies with time according to  B = A e^8t, where A = 50 mT and t is measured in seconds. What is the magnitude in V of the induced emf in the coil at t=0?

A 30 turn square coil (length of side 12 cm) with a total resistance of 2.5 W is placed in a uniform magnetic field directed perpendicularly to the plane of the coil. The magnitude of the field varies with time according to B = A e^8t, where A = 50 mT and t is measured in seconds. What is the magnitude in V of the induced emf in the coil at t=0?

Explanation / Answer

B = A e^8t

Induced EMF = NA*dB/dt

= (30*0.12*0.12)*(50*10^-3)*8*e^(8*0)

= 0.1728 V

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