Question

In the given circuit diagram. Find the heat generated on closing the switch S (Initially the capacitor of capacitance C is uncharged)-

• A. $\frac{3}{2}CV^{2}$
• B. CV²
• C. $\frac{1}{2}$CV²
• D. 2 CV²

Answer 1

Answer: (C)

$\frac{1}{2}$CV²

Answer 2

Before closing switch U_i = $\frac { 1 } { 2 }$ × × V²

= $\frac { 3 } { 5 }$CV²

After closing switch U_f = $\frac { 1 } { 2 }$ CV² + $\frac { 3 } { 5 }$CV²

Energy supply by battery = CV × V = CV²

CV² = U_f – U_i + DH

CV² = $\frac { 1 } { 2 }$ CV² + DH

DH = $\frac { 1 } { 2 }$ CV²