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Question

# A coil is rotated with constant angular speed in a uniform magnetic field about an axis that is perpendicular to the field. STATEMENT-1: The EMF induced in the coil is maximum at the instant the magnetic flux through the coil is zero. STATEMENT-2: The angle between the normal to the coil and magnetic field induction is 90∘.

A
Both STATEMENT-1 and STATEMENT-2 are TRUE and STATEMENT-2 is the correct explanation of STATEMENT-1
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B
Both STATEMENT-1 and STATEMENT-2 are TRUE but STATEMENT-2 is the NOT the correct explanation of STATEMENT-1
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C
STATEMENT-1 is FALSE and STATEMENT-2 is TRUE
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D
Both STATEMENT-1 and STATEMENT-2 are WRONG
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Solution

## The correct option is A Both STATEMENT-1 and STATEMENT-2 are TRUE and STATEMENT-2 is the correct explanation of STATEMENT-1Let the angle between the normal to the coil and magnetic field induction be θ. We know that, ϕ=BAcosθ Differentiating on both sides wrt (t) gives, −dϕdt=BAsin.dθdt From Lenz's law, Ein=BAωsinθ [dθdt=ω] ∴Ein is maximum when, θ=90∘ Flux ϕ=0 at this instant.

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