The switch shown n the figure is closed at `t=0`. The charge on the capacitor as a function of time is given by

Options

A. `CV(1-e^(-t/(RC)))`
B. `3CV(1-e^(-t/(RC)))`
C. `CV(1-e^((-3t)/(RC)))`
D. `CV(1-e^(-t/(3RC)))`

Answer

C

Explanation

The simple circit is as shown below

`R_(net)=R/3`
`:. tau_C=CR_(n et)=(CR)/3`
`q=q_0(1-e^(-5/tau_C))`
where `q_0=CV`