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QJEEM24Ph4207: JEE Main 2024 Physics - Class 12 JEEM24Ph4207 Solution: A parallel plate capacitor with plate separation 5   mm is …

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 _________.

Step-by-Step Verified Solution

Without dielectric

Q=A∈0 d V

with dielectric

Q=A∈0Vd−t+tK

given

A∈0 V d−t+tK=(1.25)A∈0 V d⇒1.25(3+2 K)=5⇒K=2

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