Statement – I: If the distance between plates of a charged isolated capacitor increases

Question

Statement – I: If the distance between plates of a charged isolated capacitor increases, then the potential energy in the electric field of capacitor increases.

Statement – II: The energy stored in a capacitor is always directly proportional to separation between the plates.

Smart Achievers · Accepted Answer

(2)

$For a given charge U = \frac{a^{2}}{2 C} = \frac{Q^{2} d}{2 ε_{0} A}, i.e., U \propto d .$

Solution

Q.
Statement – I: If the distance between plates of a charged isolated capacitor increases, then the potential energy in the electric field of capacitor increases.

Statement – II: The energy stored in a capacitor is always directly proportional to separation between the plates.

1 Both Statement – I and Statement – II are true

2 Statement – I is true and Statement – II is false

3 Statement – I is false and Statement – II is true

4 Both Statement – I and Statement – II are false

Ans.
(2)

$For a given charge U = \frac{a^{2}}{2 C} = \frac{Q^{2} d}{2 ε_{0} A}, i.e., U \propto d .$

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