What are the charges stored in the `1 muF` and `2 muF`capacitors in the circuit below, once the currents become steady ?

Options

A. `8 muF` and `4 muF` respectively
B. `4 muF` and `8 muF` respectively
C. `3muF` and `6 muF` respectively
D. `6 muF` and `3 muF` respectively

Answer

B

Explanation

At steady state current does not flow in the branch of capacitor.

Current `I = 6/(3 xx 10^(3)) = 2mA`
Potential does across `2KOmega` is same as potential drop across `1 muF` and `2 muF`
Potential drop across `2KOmega = 2 xx 10^(3) xx 2 xx 10^(-9)`
Change in `1 muF = Q = 1 xx 4 xx 10^(-6) = 4muC`
Change in `2muF = Q = 2 xx 4 xx 10^(-6) = 8 muC`