Question

The rectangular coils in a 360-turn generator are 11 cm by 16 cm.

What is the maximum emf produced by this generator when it rotates with an angular speed of 515 rpm in a magnetic field of 0.50 T ?

Express answer in kV

Express your answer using two significant figures.

Answer 1

Sol::
Given:

N= 360-turns
Area=11 cm *16 cm.
Angular speed(ω)= 515 rpm = 53.93 rad/s
Magnetic field(B)= 0.50 T

We have average magnitude of induced emf as
E= NABωsin(ωt)

Where
The maximum emf produced is

Emax= NABω
= N*l*b*B*ω
= 360*0.11*0.16*0.5*53.93
= 170.85 V
≈ 0.17*10³ V
≈ 0.17 KV

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