Question

Two capacitors of the same capacity are first joined in series and then in parallel. The ratio of resultant capacity in series to that in parallel combination will be ______

Options

• 2 : 1

• 1 : 4

• 4 : 1

• 1 : 2

Answer 1

Two capacitors of the same capacity are first joined in series and then in parallel. The ratio of resultant capacity in series to that in parallel combination will be 1 : 4.

Explanation:

In series combination the resultant capacity

`C_1 = (C xx C)/(2C) = C/2`

In parallel combination the resultant capacity

C₂ = C + C = 2C

∴ `C_1/C_2 = 1/4`