Question

# A fixed 13.6-cm diameter wire coil is perpendicular to a magnetic field 0.4 T pointing up....

A fixed 13.6-cm diameter wire coil is perpendicular to a magnetic field 0.4 T
pointing up. In 0.30s, the field is changed to 0.24T pointing down.

What is the average induced emf in the coil?

Given data

diameter, d = 13.6 cm = 13.6*10^-2 m = 0.136 m

=> radius = d/2 = 0.136/2 = 0.068 m

time t = 0.3 s

induced emf = rate of change of flux

E = d(BA)/dt

= A * dB/dt

= { [ pi * (0.068)^2 ] *[0.4 - (-0.24) ] } / 0.3

= 0.031 Volt ......Ans

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