Total required capacitance, C = 2 F Potential difference, V = 1, kV = 1000 V
Capacitance of each capacitor, C1 = 1 F
Each capacitor can withstand a potential difference, V1 = 400 V
Suppose a number of capacitors are connected in series and these series circuits are connected in parallel (row) to each other. The potential difference across each row must be 1000 V and the potential difference across each capacitor must be 400 V.
Hence, the number of capacitors in each row is given as
Hence, there are three capacitors in each row.
The capacitance of each row
Let there are n rows, each having three capacitors, = 2.5 which are connected in parallel.
Hence the capacitance of the circuit is given as
However. the capacitance of the circuit is given as 2 F
Hence, 6 rows of three capacitors are present in the circuit. A Minimum of 6 x 3 i.e., 18 capacitors are required for the given arrangement.