A parallel plate capacitor with plate separation 5 mm is charged up by a battery. It is found that on introducing a dielectric sheet of thickness 2 mm, while keeping the battery connections intact, t…

Question

A parallel plate capacitor with plate separation 5 mm is charged up by a battery. It is found that on introducing a dielectric sheet of thickness 2 mm, while keeping the battery connections intact, the capacitor draws 25 \% more charge from the battery than before. The dielectric constant of the sheet is_____

Accepted Answer

Correct answer: 2. (2) Without dielectric Q= A ∈_0dV with dielectric Q= Aϵ_0Vd-t+ tK Given A ∈_0Vd-t+ tK= (1.25 ) A ∈_0 V d ⇒1.25(3+ 2 K)=5 ⇒K=2

Solution

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