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
- A1 . 5
- B2 . 5
- C1 . 2
- 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