Derive an expression for the effective capacitance of three capacitors connected in series.

Derive an expression for equivalent capacitance of three capacitors C_(1), C_(2) and C_(3) when connected (i) in series (ii) in parallel.

Derive an expression for the capacitance of a parallel-plate capacitor filled with a dielectric.

Briefly explain the principle of a capacitor. Derive an expression for the capacitance of a parallel plate capacitor, whose plates are separated by a dielectric medium.

The effective capacitance of two capacitors of capacitances C_(1) and C_(2)(C_(2)gtC_(1)) connected in parallel is (25)/(6) times the effective capacitance when they are connected in series. The ratio (C_(2))/(C_(1)) is

Derive an expression for the capacitance of a parallel plate capacitor. How is the capacitance affected when a conducting slab is introduced in-between its plates? Explain.