In the circuit shown switch `S` is closed at `t=0`. Let `i_1` and `i_2` be the current at any finite time t then the ratio `i_1/i_2`

Options

A. is constant
B. increases with time
C. decreases with time
D. first increases, then decreases

Answer

B

Explanation

From the given situation, we have
`i_(1) = (V)/(R ) (e^(-t//RC))` and `i_(2) = (V)/(R )(e^(-t//3RC))`
`(i_(1))/(I_(2))=(e )^((2t)/(3RC))` which increases with time