Question

At steady state, ratio of energy stored in $C_1$ & $C_2$

• A. $10:1$
• B. $4:1$
• C. $6:3$
• D. $18:1$

Answer 1

The correct option is D $18:1$

Usingc$U=\frac{1}{2}\left(C\right)(\Delta V{)}^2$,
$\Delta V$ across $C_1=15volt$
$U_1=\frac{1}{2}\left(6\right)(15{)}^2$
$\Delta V$ across $C_2=5volt$
$U_2=\frac{1}{2}3(5{)}^2$
$\frac{U_1}{U_2}=\frac{\frac{1}{2}\times 6\times 15\times 15}{\frac{1}{2}\times 3\times 5\times 5}=\frac{3\times 3\times 3}{\frac{1}{2}\times 3}=18$