Question

A introduced betw

• A. $\frac{C}{K}$
• B. $\frac{C}{K^2}$
• C. $M^2C$

Answer 1

Answer: (A)

$\frac{C}{K}$

Answer 2

A dielectric when inserted “fully” between the plates of a capacitor (or when the arrangement is such that the dielectric part–behaves as two capacitors in series – one with the dielectric and one with the air gap) leads to an effective capacitance reduced (when compared in the proper way) by a factor of K. In the MHT–CET question the answer given is

$\frac{C}{K}$

Although many problems involving insertion of a dielectric show an increase by a factor K (when the capacitor remains connected to a battery) here the set‐up implies the effective capacitance is given by $\frac{C}{K}$.