Inductance \(\mathrm{L}=0.5\, \mathrm{mH}=0.5 \times 10^{-3}\, \mathrm{H}\)
Current \(I=?\)
Using energy conservation
\(\frac{1}{2} C V^{2}=\frac{1}{2} C V_{1}^{2}+\frac{1}{2} L I^{2}\)
\(\frac{1}{2} \times 0.2 \times 10^{-6} \times 10^{2}+0\)
\(=\frac{1}{2} \times 0.2 \times 10^{-6} \times 5^{2}+\frac{1}{2} \times 0.5 \times 10^{-3} I^{2}\)
\(\therefore \quad I=\sqrt{3} \times 10^{-1}\, \mathrm{A}=0.17\, \mathrm{A}\)