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

Deduce an expression for equivalent capacitance C when three capacitors C_(1), C_(2) and C_(3) are connected in parallel.

Obtain an expression for equivalent capacitance when three capacitors C_1, C_2 and C_3 are connected in series.

(a) State the underlying principle of a potentiometer. Why is it necessary to (i) use a long wire, (ii) have uniform area of cross-section of the wire ? (b) Obtain an expression for equivalent capacitance when three capacitors C_(1), C_(2) "and" C_(3) are connected in series.

Obtain the expression for effective capacitance, when three capacitors C_1 , C_2 and C_3 are connected in series.

Derive expression for the total capcitane, when three capacitors of capactiances C_1,C_2 and C_3 are connected in parallel.

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

Derive an expression for the equivalent capacitance when capacitors are connected in parallel.

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