Question

Assertion (A): Induced emf produced in a coil will be more when the magnetic flux linked with the coil is more. 

Reason (R): Induced emf produced is directly proportional to the magnetic flux.

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).

• Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).

• Assertion (A) is true, but Reason (R) is false.

• Both Assertion (A) and Reason (R) are false.

Answer 1

Assertion (A) is true, but Reason (R) is false.

Explanation:

Faraday’s law of electromagnetic induction:

ε = `-(d phi)/dt`

Induced emf depends on the rate of change of flux, not just flux.

An increase in magnetic flux associated with a coil, particularly a quick shift, results in a rise in induced electromotive force (emf). Consequently, the argument is often regarded as true in practical contexts.

The reason states:

E ∝ Φ

This is incorrect. From Faraday’s law:

E ∝ `(d phi)/dt`

So the emf depends on the rate of change of flux, not on the flux itself.