Change in Capacitor Properties – Rankers Physics
Topic: Capacitors
Subtopic: Parallel Plate Capacitor

Change in Capacitor Properties

A battery is used to charge a parallel-plate capacitor, after which it is disconnected. Then the plates are pulled apart to twice their original separation. This process will double the :
capacitance
surface charge density on each plate
stored energy
electric field between the two plates

Solution:

When a capacitor is disconnected, charge (Q) remains constant. Capacitance \(C = \frac{\epsilon_0 A}{d}\). If (d) doubles, (C) halves. Stored energy \(U = \frac{Q^2}{2C}\). Since (Q) is constant and (C) halves, (U) doubles.

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