In the circuit shown in the figure, switch `S` is closed at time `t=0`. Select the correct statements.

Options

A. Rate of increase of charge is same in both the capacitors
B. Ratio of charge stored in capacitors `C` and `2C` at any time t would be `1:2`
C. Time constants of both the capacitors are equal
D. Steady state chares on capacitors `C` and `2C` are in the ratio of `1:2`

Answer

B, C, D

Explanation

In steady, state,
`qC=EC and q_(2C)=2EC`
`tau_C=2CR` of both circuits
At time `t`
`q_C=EC(1-e^(t)/(tau_C))`
`q_(2_C)=2EC(1-e^(-t/(tauC)))`
`:. q_C/q_(2C)=1/2`