First slide
Faraday's law of Electromagnetic induction
Question

A circular ring, made of copper wire, has area of 30 cm2 and resistance of 10 Ω. It is placed in a uniform magnetic field of induction 2 tesla with its plane perpendicular to the field. When the loop is rotated through an angle of θ about its diameter, 3 x 10-4 coulomb of charge flows through it. Then θ is

Difficult
Solution

ϕ1=AB=30×104×2weber=6×103weber

ϕ2=ABcosθ=6×103cosθ

Now charge flown, Q=ϕ1ϕ2Rϕ2=ϕ1QR

6×103×cosθ=6×1033×104×10cosθ=3×1036×103θ=60o

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