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Question

An AC generator consists of a coil of 50 turns and an area 2.5 m2 rotating at an angular speed of 60 rad/s in a uniform magnetic field of 0.3 T between two fixed pole pieces. What is the magnetic flux through the coil, when the current is maximum?

A
425 Wb
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B
334 Wb
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C
501 Wb
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D
Zero
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Solution

The correct option is D Zero
The current is maximum, when the coil is horizontal. At this position the magnetic flux through the coil is zero.

Alternative Solution :

Suppose, at any instant, the flux is ϕ=BAcosωt

So, induced emf, E=BAωsinωt

Hence, induced current, i=BAωRsinωt

For maximum current, ωt=π/2 which gives maximum value of sinωt=1.

For ωt=π/2, magnetic flux,

ϕ=BAcosωt=0

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