Question

Two condensers of capacities 'C' and '2C' are connected in parallel and then in senes with 3^rd condenser of capacity '3C'. The combination is charged to 'V' volt. The charge on the condenser of capacity 'C' is ______

Options

• CV

• `(CV)/3`

• 2CV

• `(CV)/2`

Answer 1

Two condensers of capacities 'C' and '2C' are connected in parallel and then in senes with 3^rd condenser of capacity '3C'. The combination is charged to 'V' volt. The charge on the condenser of capacity 'C' is `underline((CV)/2)`.

Explanation:

 

Q = `3/2`CV

`Q_1/Q_2 = C/(2C) = 1/2`

`Q_1/(Q_1 + Q_2) = 1/(1 + 2) = 1/3`

`Q_1/((3CV)/2) = 1/3`

∴ `Q_1 = (CV)/2`