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

A parallel plate capacitor is charged and then disconnected from the charging battery. If the plates are now moved farther apart by pulling them by means of insulating handles, then ______.

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?

Four capacitors of equal capacity have an equivalent capacitance C₁ when connected in series and an equivalent capacitance C₂ when connected in parallel. The ratio `c_2/c_1`, is ______

A parallel plate capacitor is being charged by a time varying current. Explain briefly how Ampere’s circuital law is generalized to incorporate the effect due to the displacement current ?

A dielectric slab of thickness 't’ is kept between the plates of a parallel plate capacitor with plate separation 'd' (t < d). Derive the expression for the capacitance of the capacitor.

A parallel plate capacitor with air between the plates has a capacitance of 8 pF. Calculate 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. (ε_r = 6)

Capacitor plates are charged by a battery with ‘V’ volts. After charging the battery is disconnected and a dielectric slab with dielectric constant ‘K’ is inserted between its plates, the potential across the plates of a capacitor will become ____________.

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