Question

Obtain the expression for capacity of a parallel plate capacitor. How will the capacity of the capacitor be increased? 
 

Hint:

Capacitance increases with increasing plate area or decreasing plate separation, or by introducing a dielectric.

Answer 1

The capacitance \( C \) of a parallel plate capacitor is given by the formula: \[ C = \frac{\varepsilon_0 A}{d}, \] where \( \varepsilon_0 \) is the permittivity of free space, \( A \) is the area of each plate, and \( d \) is the separation between the plates. - To increase the capacitance: - Increase the area \( A \) of the plates. - Decrease the distance \( d \) between the plates. - Use a dielectric material between the plates, which increases the permittivity, making the capacitance larger by a factor of \( K \), the dielectric constant of the material.