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Assertion (A): If the voltage across the capacitor being constant, current through it is zero.
Reason (R): On application of dc voltage and with no initial charge, the capacitor first acts as short circuit but as soon as the full charge it retains, the capacitor behaves as open circuit.
  • 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 is false but R is true.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Assertion (A): If the voltage across the capacitor being constant, cur...
Assertion (A): If the voltage across the capacitor is constant, the current through it is zero.
Reason (R): On the application of DC voltage and with no initial charge, the capacitor first acts as a short circuit, but as soon as it reaches its full charge, the capacitor behaves as an open circuit.

Explanation:

Assertion (A): If the voltage across the capacitor is constant, the current through it is zero.
When the voltage across a capacitor is constant, it means that the rate of change of voltage with respect to time is zero. Mathematically, this can be expressed as:

Vc = constant
dVc/dt = 0

The current through a capacitor, on the other hand, is given by the equation:

Ic = C * dVc/dt

Where Ic is the current through the capacitor and C is the capacitance. If dVc/dt is zero, then the current through the capacitor will also be zero. Therefore, Assertion (A) is true.

Reason (R): On the application of DC voltage and with no initial charge, the capacitor first acts as a short circuit, but as soon as it reaches its full charge, the capacitor behaves as an open circuit.
When a DC voltage is applied to a capacitor with no initial charge, initially the capacitor acts as a short circuit. This is because there is no charge on the capacitor plates, and they are able to accumulate charge quickly.

As the capacitor charges up, the voltage across it increases. Eventually, when the capacitor reaches its full charge, the voltage across it becomes equal to the applied voltage. At this point, the capacitor behaves as an open circuit, as no more charge can be stored on the capacitor plates.

Therefore, the reason (R) is a correct explanation for the assertion (A).

Conclusion:
From the above explanation, we can conclude that both the assertion (A) and the reason (R) are true, and the reason (R) is the correct explanation for the assertion (A). Therefore, the correct answer is option 'A'.
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Assertion (A): If the voltage across the capacitor being constant, current through it is zero.Reason (R): On application of dc voltage and with no initial charge, the capacitor first acts as short circuit but as soon as the full charge it retains, the capacitor behaves as open circuit.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 is false but R is true.Correct answer is option 'A'. Can you explain this answer?
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