Assertion : If distance between parallel plates of a capacitor is halved and dielectric constant is

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2. Electric Potential and Capacitance

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Assertion : If the distance between parallel plates of a capacitor is halved and dielectric constant is three times, then the capacitance becomes $6\,times$.

Reason : Capacity of the capacitor does not depend upon the nature of the material.

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

If the Assertion is correct but Reason is incorrect.

If both the Assertion and Reason are incorrect.

(AIIMS-1997)

Solution

We know that capacity of capacitor is directly proportional to dielectric constant and inversely proportional to distance. So, the net effect of making distance halved and making dielectric constant three times will be capacity becoming six times. As nature of the material (dielectric constant) is a factor influencing the capacity, therefore, Reason is incorrect.

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(JEE MAIN-2022)

Assertion : If the distance between parallel plates of a capacitor is halved and dielectric constant is three times, then the capacitance becomes $6\,times$. Reason : Capacity of the capacitor does not depend upon the nature of the material.

Solution

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Assertion : If the distance between parallel plates of a capacitor is halved and dielectric constant is three times, then the capacitance becomes $6\,times$.

Reason : Capacity of the capacitor does not depend upon the nature of the material.