Question

In an $LC$ oscillation circuit, $L=1H,C=\frac{1}{4}F$ and maximum charge in capacitor is $4C$. Match the following two columns. Note that in column II all values are in their respective SI units

Answer 1

$\omega =\frac{1}{\sqrt{LC}}=2rad/s$
(a) $i_{max}=\omega q_0=8A$
(b)${\left|\frac{di}{dt}\right|}_{max}={\omega }^2{q}_0=16A/s$
(c) $V_L-V_C=\frac{q}{C}=\frac{2}{1/4}=8V$
(d) $V_C=V_L=L\frac{di}{dt}=\left(1\right)\left(\frac{16}{2}\right)=8V$