Question

A bicycle generator rotates at 171 rad/s, producing an 16.5 V peak emf. It has a...

A bicycle generator rotates at 171 rad/s, producing an 16.5 V peak emf. It has a 1.00 by 3.00 cm rectangular coil in a 0.67 T field.

ε0 = 16.5 V
ω = 171 rad/s
B = 0.67 T

How many turns are in the coil?

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Answer #1

area of coil = 3 cm2=0.0003 m2

EMF=ε0 = 16.5 V
ω = 171 rad/s = 1 radian per second = 0.159155 Hz so frequency= 27.189 hz

so time period = 1/f = 0.036 secs
B = 0.67 T

so , EMF = nBA /dt

=>16.5 = (n*0.67 *0.0003)/0.036

=> n = 2955.22 turns

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