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An uncharged capacitor C, Resistances R(...

An uncharged capacitor `C`, Resistances `R_(1)=R` and `R_(2)=2R`, cells of `emf epsilon_(1)=epsilon` and `epsilon_(2)=epsilon` are connected as shown in the figure. Switch `S` is initially connected to terminal `1` for a long time and then it is connected to terminal `2` for an another long duration. IF `H_(1)`, `U_(1)` are the heat energies lost through the resistor `R_(1)` and energy stored in the capacitor respectively at steady state, when the switch is connected to terminal `1` and `H_(2)`, `U_(2)` are corresponding value when the switch is connected to terminal `2`. Choose the correct statements(s).

A

`U_(1)//U_(2)=1`

B

`H_(1)//H_(2)=1//4`

C

work done by the cells during the time interval when they are active, is positive.

D

None of the above

Text Solution

Verified by Experts

From work energy theorem
`W_("cell")=DeltaH+U_(f)-U_(i)`, where `U_(f)=U_(i)`
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