Two capacitors, each having capacitance 40 μ F are connected in series. The space between one of the…

Two capacitors, each having capacitance 40μF 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 24μF. The value of K will be :
  1. 1.5
  2. 2.5
  3. 1.2
  4. 3

Solution

When a dielectric is inserted between the sheets of a capacitor, its capacitance becomes KC.

Now the equivalent capacitance in series combination will be,

Ceq=C×KCC1+K24=40K1+KK=1.5

Asked in: JEE Main 2022 (28 Jul Shift 1)

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