The speed of coil of the microphone is 0.227 m/s
A microphone is a device used to transmit sound energy through electrical energy. it makes use of magnetic fields whose strength is measures in Tesla
Given data
D = 1.4cm = 0.014m
N = 100
B = 0.010T
emf = 10mV
speed = dx / dt = ?
solution
emf = N dΦ / dt
Φ = BA
A = 2 pi R x
R = D / 2 = 0.014 / 2 = 0.007
emf = N d ( B 2 pi R x ) / dt
emf = N B 2 pi R dx / dt
and dx / dt = speed
speed = emf / N B 2 pi R
speed = 10 * 10 ^ -3 / ( 100 * 0.010 * 2 * 3.142 * 0.007)
speed = 10 * 10 ^ -3 / ( 0.043988 )
speed = 0.227 m/s
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