Question 411: AC fundamentals

Question

For the circuit shown below, instantaneous current through inductor '$$\mathrm{L}$$' and capacitor '$$\mathrm{C}$$' is respectively.

Accepted Answer

The current through the inductor lags behind the applied emf by $$\frac{\pi}{2}$$ and the current through the capacitor leads the current by $$\frac{\pi}{2}$$
$$\begin{aligned}
& 	herefore \mathrm{i}_{\mathrm{L}}=\frac{\mathrm{e}_0}{\omega \mathrm{L}} \sin \left(\omega \mathrm{t}-\frac{\pi}{2}ight)=-\frac{\mathrm{e}_0}{\omega \mathrm{L}} \cos \omega \mathrm{t} \
& 	ext { and } \mathrm{i}_{\mathrm{c}}=\mathrm{e}_0 \omega \mathrm{C} \sin \left(\omega \mathrm{t}+\frac{\pi}{2}ight)=\mathrm{e}_0 \omega \mathrm{C} \cos \omega \mathrm{t}
\end{aligned}$$

Answer

$$\frac{-\mathrm{e}_0}{\omega \mathrm{L}} \cos \omega \mathrm{t} ; \mathrm{e}_0 \omega \mathrm{c} \cos \omega \mathrm{t}$$

Answer

$$\frac{-\mathrm{e}_0}{\omega \mathrm{L}} \sin \omega t ; \frac{\mathrm{e}_0}{\omega \mathrm{C}} \cos \omega \mathrm{t}$$

Answer

$$\frac{\mathrm{e}_0 \mathrm{C}}{\mathrm{L}} \cos \omega \mathrm{t}; \frac{\mathrm{e}_0 \mathrm{~L}}{\mathrm{C}} \sin \omega \mathrm{t}$$

Answer

$$\frac{-\mathrm{e}_0 \mathrm{C}}{\mathrm{L}} \sin \omega \mathrm{t} ; \frac{\mathrm{e}_0 \mathrm{~L}}{\mathrm{C}} \cos \omega \mathrm{t}$$

AC fundamentals

For the circuit shown below, instantaneous current through inductor '$\mathrm{L}' and capacitor '\mathrm{C}$' is respectively.

Choose the correct answer: