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JEE Main202228 Jul 2022Morning ShiftPhysicsCapacitanceActual

Two capacitors, each having capacitance 40 μ F are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant K such that the equivalence capacitance of the system became 24 μ F . The value of K will be :

Options

  1. A1 . 5
  2. B2 . 5
  3. C1 . 2
  4. D3

Correct answer

A. 1 . 5

Step-by-step solution

When a dielectric is inserted between the sheets of a capacitor, its capacitance becomes K C . Now the equivalent capacitance in series combination will be, C eq = C × K C C 1 + K ⇒ 24 = 40 K 1 + K ⇒ K = 1 . 5

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