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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

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B

Both A and R are true but R is not the correct explanation of A

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C

A is true but R is false

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D

A and R are false

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Solution

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. ε=-NΔφΔt
  5. Where, ε=the induced voltage

N=number of loops

Δφ=change in magnetic flux

Δt=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.


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