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

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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 ____.

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Without dielectric, capacitance will be C = A ε 0 d . Therefore, charge on it, Q = A ε 0 d V Now, with dielectric capacitance will be C ' = A ε 0 d - t + t K . Hence, charge on it will be Q ' = A ε 0 V d - t + t K Given: A ε 0 V d - t + t K = 1 . 25 A ε 0 V d ⇒ 1 . 25 3 + 2 K = 5 ⇒ K = 2

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