Electromagnetic Induction

JEE Main level, single correct, medium

15 of 153

Question 15 of 153

The induced emf can be produced in a coil by
A. moving the coil with uniform speed inside uniform magnetic field

B. moving the coil with non uniform speed inside uniform magnetic field

C. rotating the coil inside the uniform magnetic field

D. changing the area of the coil inside the uniform magnetic field

Choose the correct answer from the options given below:

Show answer and solution

Answer: (C) CC and DD only

Induced emf is given by Faraday's law
∣ϵ∣=dϕdt\left|\epsilon \right|=\dfrac{d\phi }{dt}
where
ϕ\phi is the magnetic flux.
The rate of change of flux through a circuit is defined as emf. The formula for flux is
ϕ=B⃗⋅A⃗\phi =\vec{B}\cdot \vec{A}. In the statements A&B given in the question, the magnetic flux in the coil in uniform magnetic field does not change. So, no emf is induced.
But in statement
CC, the angle between the area vector and the magnetic field continuously changes hence, an emf is generated. In statement DD, the area is changing in unit time so magnetic flux will change and an emf is generated.

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