Three capacitors f capacitanes `C_(1), C_(2) and C_(3)` are connected (i) in series, (ii) in parallel. Show that the energy stored in the series combination is the same as that in parallel combination.

Combination of capacitors| series and parallel combination

Two capacitors of capacity C_(1) and C_(2) are connected in series. The combined capacity C is given by

Series Combination|Parallel Combination

Two capacitors of unknown capacitance C_(1) and C_(2) are connected first in series and then in parallel, across a battery of 100V. If the energy stored in the two combinations is 0.045 J and 0.25 J respectively determine the values of C_(1) and C_(2) . Also calculate the charge on each capacitor in parallel combination.

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

combination OF capacitor ( series and parallel )