Question

Two insulated metallic spheres of $3\mu F$ and $5\mu F$ capacitances are charged to $300V$ and $500V$ respectively. The energy loss, when they are connected by a wire, is

• A. $0.012\mspace{6mu} J$
• B. $0.0218\mspace{6mu} J$
• C. $0.0375J$
• D. $3.75\mspace{6mu} J$

Answer 1

Answer: (C)

$0.0375J$

Answer 2

By using $\Delta U = \frac{C_{1}C_{2}}{2(C_{1} + C_{2})}(V_{1} - V_{2})^{2}$ ; $\Delta U = 0.375J$