Induced EMF in Rotating Coil – Rankers Physics

Faraday's Law of Electromagnetic Induction: Practice Problem & Solution

Assertion (A): At the instant when magnetic flux is zero, emf induced in the coil is maximum when it is rotating in uniform magnetic field w.r.t. axis in the plane of coil. Reason (R): emf induced in the coil is equal to rate of change of magnetic flux.  
Both A & R are true and the (R) is the correct explanation of the (A)
Both A & R are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Faraday's Law of Electromagnetic Induction. Understanding the underlying formula is key to arriving at the correct answer below:

Induced emf is \(E = -d\phi/dt = BA\omega sin(\omega t)\). Magnetic flux is \(\phi = BA cos(\omega t)\). When \(\phi = 0\), \(cos(\omega t) = 0\), which implies \(sin(\omega t) =  1\). Thus, \(E\) is maximum. Both A and R are true, and R correctly explains A.

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