An equivalent capacitor of 10 F that can be connected across a 200 V battery is required to be constructed. Capacitors of capacitance 10 F are available, but they can withstand only 50 V . Which of the following combinations yields the desired result?

Step-by-step solution

Let n be the number of capacitors connected in series in each branch. The voltage across each capacitor in the series combination is V n . Since the total voltage is 200 V and each capacitor can withstand a maximum of 50 V , we have: 200 n 50 n 4 Taking the minimum number of capacitors in series, n = 4 . The equivalent capacitance of one such branch containing 4 capacitors in series is: C_s = C n = 10 4 = 2.5 F Let m be the number of such branches connected in parallel to achieve the desired total capacitance. The