An inductor of reactance $100$ $\Omega$, a capacitor of reactance $50$ $\Omega$, and a resistor of resistance $50$ $\Omega$ are connected in series with an AC source of $10$ V, $50$ Hz. Average power dissipated by the circuit is ____

In an AC circuit $E = 50 \sin(500 t)$, $I = 600 \sin\left(500 t + \dfrac{\pi}{3}\right) mA$. What is the power dissipated in the circuit? [$\cos 60^\circ = 0.5$]

In the circuit shown below, the ac source has voltage $V = 30 \cos(\omega t)$ volt with $\omega = 2000$ rad/s. What will be the amplitude of the current?

For large magnifying power of a telescope