Question

Assertion: Faraday's laws are consequences of the conservation of energy.

Reason: In a purely resistive A.C. circuit, the current lags behind the e.m.f.

• A. Both A and R are true and R is the correct explanation of A
• B. Both A and R are true but R is not the correct explanation of A
• C. A is true but R is false
• D. A and R are false

Answer 1

The correct option is C

A is true but R is false

Explanation for the Assertion statement:

1. Faraday's laws of electromagnetic induction are consequences of the conservation of energy.
2. It involves only the transformation of energy into electrical energy.
3. The formula of faraday's law:
4. $\epsilon =-N\frac{\Delta \phi }{\Delta t}$
5. Where, $\epsilon =$the induced voltage

$N=$number of loops

$\Delta \phi =$change in magnetic flux

$\Delta t=$change in time

Explanation for the Reason statement:

1. A fully resistive alternating current circuit lacks inductance and capacitance.
2. The alternating current and e.m.f both pass forward and reverse in both circuit directions.
3. As a result, alternating current and e.m.f. have a Sine wave shape, often known as the sinusoidal waveform.
4. In a fully resistive circuit, the phase angle between current and voltage is also zero.
5. If we expressed the instantaneous current and applied voltage of a typical circuit type, we would see that the voltage and current supplied are truly in phase with each other.
6. Hence the statement saying, In a purely resistive A.C. circuit, the current lags behind the e.m.f., is an incorrect statement.

Thus, option C is the correct answer.