Question

In the circuit shown $X$ is joined to $Y$ for a long time and then $X$ is joined to $Z$. The total heat produced in $R_2$ is:

• A. $\frac{L{E}^2}{2R_1^2}$
• B. $\frac{L{E}^2}{2R_2^2}$
• C. $\frac{L{E}^2}{2R_1{R}_2}$
• D. $\frac{L{E}^2{R}_2}{2R_1^3}$

Answer 1

The correct option is A $\frac{L{E}^2}{2R_1^2}$

Steady state current in $L=i_0=\frac{E}{R_1}$
Energy stored in $L=\frac{1}{2}L{\left(\frac{E}{R_1}\right)}^2=$ heat produced in $R_2$ during discharge $=\frac{L{E}^2}{2R_1^2}$.