In the current shown Fig., `X` is joined to `Y` for a long time and then `X` is joined to `Z`. The total heat produced in `R_(2)` is

Options

A. `(LE^(2))/(2 R_(1)^(2))`
B. `(LE^(2))/(2 R_(2)^(2))`
C. `(LE^(2))/(2 R_(1)R_(2))`
D. `(LE^(2)R_(2))/(2R_(1)^(3))`

Answer

A

Explanation

The current in `L` for steady state `= (E)/(R_(1))`
`:.` Energy stored in `L = (1)/(2)LI_(0)^(2) = (1)/(2)L(E^(2))/(R_(1)^(2))`