a
\(\mathrm{X}_{\mathrm{L}}=\omega \mathrm{L}=314 \times 40 \times 10^{-3}=12.56 \Omega\)

\(\mathrm{X}_{\mathrm{C}}=\frac{1}{\omega \mathrm{C}}=\frac{1}{314 \times 100 \times 10^{-6}}\)

\(=\frac{10^{4}}{314}=31.84 \Omega\)

\(\mathrm{V}_{\mathrm{m}}=\mathrm{I}_{\mathrm{m}}\left(\mathrm{X}_{\mathrm{C}}-\mathrm{X}_{\mathrm{L}}\right)\)

\(10=\mathrm{I}_{\mathrm{m}}(31.84-12.56)\)

\(I_{m}=\frac{10}{19.28}=0.52 A\)

\(I=0.52 \sin \left(314 t+\frac{\pi}{2}\right)\)