Capacitance of a Parallel Plate Capacitor with and Without Dielectric Medium Between the Plates

A parallel plate air capacity 'C' farad, potential 'V' volt and energy 'E' joule. When the gap between the plates is completely filled with dielectric ______.

What meaning would you give to the capacitance of a single conductor?

Two parallel-plate capacitors X and Y have the same area of plates and same separation between them. X has air between the plates, while Y contains a dielectric medium of ε_r = 4.

(i) Calculate capacitance of each capacitor if the equivalent capacitance of the combination is 4 μF.

(ii) Calculate the potential difference between the plates X and Y.

(iii) Estimate the ratio of electrostatic energies stored in X and Y.

The dielectric constant decreases if the temperature is increased. Explain this in terms of polarization of the material.

A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10⁻¹² F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?

The equivalent capacitance between the point A and B as shown in figure will be ______.

Derive the expression for the capacitance of a parallel plate capacitor having plate area A and plate separation d.

A parallel plate air capacitor has a capacitance of  5 μF. It becomes 50 μF when a dielectric medium occupies the entire space between its two plates. What is the dielectric constant of the medium?