Question 391: AC fundamentals

Question

In an $$\mathrm{AC}$$ circuit, the current is $$\mathrm{i}=5 \sin \left(100 \mathrm{t}-\frac{\pi}{2}\right) \mathrm{A}$$ and voltage is $$\mathrm{e}=200 \sin (100 \mathrm{t})$$ volt. Power consumption in the circuit is $$\left(\cos 90^{\circ}=0\right)$$

Accepted Answer

$$\begin{aligned}
& \mathrm{P}=\mathrm{I}_{\mathrm{rms}} \mathrm{V}_{\mathrm{rms}} \cos \phi \
& \phi=90^{\circ} \
	herefore & \quad \mathrm{P}=0 \quad \left(\because \cos 90^{\circ}=0ight) \
\end{aligned}$$

Answer

$$200 \mathrm{~W}$$

Answer

$$0 \mathrm{~W}$$

Answer

$$40 \mathrm{~W}$$

Answer

$$1000 \mathrm{~W}$$

AC fundamentals

In an $\mathrm{AC} circuit, the current is \mathrm{i}=5 \sin \left(100 \mathrm{t}-\frac{\pi}{2}\right) \mathrm{A} and voltage is \mathrm{e}=200 \sin (100 \mathrm{t}) volt. Power consumption in the circuit is \left(\cos 90^{\circ}=0\right)

Choose the correct answer: