The plane of a rectangular coil, 2.7 cm by 6.2 cm, is perpendicular to the direc

Question

The plane of a rectangular coil, 2.7 cm by 6.2 cm, is perpendicular to the direction of a uniform magnetic field B. If the coil has 75 turns and a total resistance of 10.6 , at what rate must the magnitude of B change to induce a current of 0.07 A in the windings of the coil? Answer in units of T/s. The plane of a rectangular coil, 2.7 cm by 6.2 cm, is perpendicular to the direction of a uniform magnetic field B. If the coil has 75 turns and a total resistance of 10.6 , at what rate must the magnitude of B change to induce a current of 0.07 A in the windings of the coil? Answer in units of T/s.

Explanation / Answer

i = EMF/R

where,

EMF = N*d(phi)/dt

phi = B.A

EMF = N*A*dB/dt

i = N*A*(dB/dt)/R

dB/dt = i*R/(N*A)

Using given values:

dB/dt = 0.07*10.6/(75*2.7*6.2*10^-4)

dB/dt = 5.91 T/sec

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