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A parallel plate capacitor is charged and then isolated. Now a dielectric slab is introduced in it. Which of the following quantities will remain constant?

Asked in GSEB Board July 2016 · Dielectric slab

Answer: (2) Electric charge Q

Step-by-step solution

Given: the capacitor is charged and then isolated (disconnected from the battery); a slab of dielectric constant K is inserted.

Idea: an isolated capacitor has nowhere to send or receive charge, so the charge Q on its plates cannot change.

The slab raises the capacitance: C → KC.

Then V = Q/(KC) drops to V/K, and U = (Q²)/(2KC) drops to U/K.

So the quantity that remains constant is the charge Q.

Why the other options are wrong

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