Question

Find the ratio between the energy stored in $5\mu F$ capacitor to the $4\mu F$ capacitor in the given circuit in steady state?

Answer 1

In steady state , the capacitors are fully charged and no current pass through them. So no current also pass through resistors 4 ohm and 5 ohm. Thus, the potential across the capacitors will be $2V$.

Energy stored in $5\mu F$ capacitor is $U_5=\frac{1}{2}\times 5\times 2^2=10J$

Energy stored in $4\mu F$ capacitor is $U_4=\frac{1}{2}\times 4\times 2^2=8J$

Thus, $U_5/U_4=10/8=5/4$