Question

Check the correct statement: When a magnet is moved into a coil, the magnitude of the induced emf is independent of

• A. The number of turns in the coil
• B. The speed with which the magnet moves
• C. The strength of the magnet
• D. The resistance of the coil

Answer 1

The correct option is D The resistance of the coil

According to Faraday's Law when the magnetic flux linking a circuit changes, an electromotive force is induced in the circuit proportional to the rate of change of the flux linkage

And the emf induced $\left(E\right)=$ $-\frac{Nd\varphi }{dt}$ $eq...1$

A-The number of turns in the coil(N).

As seen from the formula induced emf is dependent on number of turns.So A is incorrect statement.

B- The speed with which the magnet move $\left(\frac{d\varphi }{dt}\right)$ which is also an incorrect statement.

C- this also an incorrect statement as strength of magnet affects the flux assosciated and hence it also affects the rate of changing flux.

D- As can be seen from the formula induced emf is independent of resistance of the coil. So, this is a correct statement

Therefore, D is correct option.