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KVPY2019PhysicsCapacitance

How will the voltage V between the two plates of a parallel plate capacitor depend on the distance d between the plates, if the charge on the capacitor remains the same?

Correct answer

2

Step-by-step solution

From C = q V We have, V = q C = q d ε 0 A or V ∝ d Hence, graph is a straight line. When both plates are touched d = 0 , system still have some capacity C ≠ 0 . So, from C = q V we can see that at very small seperations V ≠ ∞ or graph does not have any values for very small d . ∴ V versus d graph is as shown below :

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