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Assertion (A): It is impossible to change the current through an inductor by finite amount in zero time.
Reason (R): The current through an inductor can be changed by finite amount in zero time only when an infinite voltage is applied across it.
  • 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): It is impossible to change the current through an induc...
Assertion (A): It is impossible to change the current through an inductor by a finite amount in zero time.

Reason (R): The current through an inductor can be changed by a finite amount in zero time only when an infinite voltage is applied across it.

Explanation:

The assertion states that it is impossible to change the current through an inductor by a finite amount in zero time. Let's analyze this statement along with the reason provided.

Inductor Behavior:
An inductor is a passive electronic component that stores energy in its magnetic field when current flows through it. According to Faraday's law of electromagnetic induction, a voltage is induced across an inductor that is proportional to the rate of change of current through it.

Time Constant:
The behavior of an inductor is characterized by its time constant, which is given by the ratio of inductance (L) to the resistance (R) connected in series with it. The time constant (τ) represents the time required for the current through the inductor to reach approximately 63.2% of its final value during a change.

Explanation of Assertion (A):
When a voltage is applied to an inductor, its current does not change instantaneously. Instead, it gradually increases or decreases according to the applied voltage and the inductance value. This behavior is explained by the time constant of the inductor.

When an instantaneous change in current is desired, it would require an infinite voltage across the inductor. However, in practical scenarios, it is not possible to apply an infinite voltage. Therefore, it is impossible to change the current through an inductor by a finite amount in zero time.

Explanation of Reason (R):
The reason provided states that the current through an inductor can be changed by a finite amount in zero time only when an infinite voltage is applied across it. This aligns with the behavior of inductors as explained above. In order to achieve an instantaneous change in current, an infinite voltage would be required.

Conclusion:
Both the assertion and the reason are true. The reason correctly explains the assertion by stating that a finite change in current in zero time can only be achieved with an infinite voltage across the inductor. Therefore, option 'A' is the correct answer.
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Assertion (A): It is impossible to change the current through an inductor by finite amount in zero time.Reason (R): The current through an inductor can be changed by finite amount in zero time only when an infinite voltage is applied across it.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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