Capacitance and Charge – Rankers Physics

Combination of Capacitors: Practice Problem & Solution

Assertion (A): Two parallel plates having unequal charges have same capacitance as that of equal and opposite charges on same plates and same configuration. Reason (R): Capacitance of system/ configuration is independent of charge on plates.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Combination of Capacitors. Understanding the underlying formula is key to arriving at the correct answer below:

A: True. The capacitance of a parallel plate capacitor, \(C = \frac{\epsilon_0 A}{d}\), is a geometric property and does not depend on the specific charge values on the plates, only their configuration.\nR: True. Capacitance is an intrinsic property dependent on geometry and dielectric, not on charge or potential.\n(R) correctly explains (A).

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