Question

The charge flowing across the circuit on closing the key K is equal to

• A. CV
• B. $\frac { C } { 2 } V$
• C. 2CV
• D. Zero

Answer 1

Answer: (B)

$\frac { C } { 2 } V$

Answer 2

When the key K is kept open the charge drawn from the source is $Q = C ^ { \prime } V$

Where C' is the equivalent capacitance given by $\mathrm { C } ^ { \prime } = \frac { \mathrm { C } } { 2 }$

Therefore Q = $\left( \frac { \mathrm { C } } { 2 } \right) \mathrm { V }$

Whey the key K is closed, the capacitor 2 gets short circuited and the charge in the circuit $\mathrm { Q } ^ { 1 } = \mathrm { CV }$

∴ Charge flowing is