Question

What amount of heat will be generated in the circuit shown below after shifting switch S from position 1 to 2

• A. $\left(\frac{1}{2}C3V^2\right)J$
• B. $\left(\frac{1}{2}C4V^2\right)J$
• C. $\left(\frac{1}{8}C3V^2\right)J$
• D. $\left(\frac{1}{2}C3V^9\right)J$

Answer 1

The correct option is A $\left(\frac{1}{2}C3V^2\right)J$

$Q_i=CV=C\left(1\right)=C$
$Q_j=CV=C\times 2=2C$
$Q_i-Q_j=C$
$W_i=\frac{1}{2}C{\left(V\right)}^2$
$W_j=\frac{1}{2}C\left(2V^2\right)$
$W_i-W_j=\frac{1}{2}C\left(4V^2-V^2\right)$
$=\left(\frac{1}{2}C3V^2\right)J$