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 R₂ is–

• A. $\frac{LE^{2}}{2R_{1}^{2}}$
• B. $\frac{LE^{2}}{2R_{2}^{2}}$
• C. $\frac{LE^{2}}{2R_{1}R_{2}}$
• D. $\frac{LE^{2}R_{2}}{2R_{1}^{3}}$

Answer 1

Answer: (A)

$\frac{LE^{2}}{2R_{1}^{2}}$

Answer 2

Steady state current in L = i₀ =$\frac{E}{R_{1}}$ Energy stored in L =$\frac{1}{2}$L$\left( \frac{E}{R_{1}} \right)^{2}$= heat produced in R₂ during discharge =$\frac{LE^{2}}{2R_{1}^{2}}$.