In the circuit shown, `A` and `B` are equal resistances. When `S` is closed, the capcitor Ccharges from the cell of emf epsilon and reaches a steady state.

Options

A. During charging, more heat is produced in A than in B
B. In stedy state heat is produced at the same rate in A and B
C. In the steady state, energy stored in C is `1/4Cepsilon^2`
D. In the steady state energy stored in C is `1/8Cepsilon^2`

Answer

A, B, D

Explanation

Current through `A` is the main current passing through the battery. So, the current is more than the current passing through `B`. Hence, during charging more heat is produced is `A`.
In steady state
`i_C=0`
`and i_A=i_B`
Hence, heat is produced at the same rate in `A` and `B`.
further, in steady state
`V_C=V_B=epsilon/2`
`:. U=1/2CV_C^2=1/8Cepsilon^2`