What is the power dissipated in an ac circuit in which voltage and current are given by $V=250\sin \left(\omega t+\frac{\pi }{2}\right)$ and $I=10\sin \omega t.$

An air-core coil and an electric bulb are connected in series across a $220 \mathrm{V}-50 \mathrm{Hz}$ ac source. The bulb glows with some brightness. How will the glow of bulb be affected on introducing a capacitor in series in the circuit? Justify your answer.