# AC emf applied to capacitor and lamp in series

 P: 1,395 They forgot to include the resistance of the lamp, altough the error made is much smaller than you think. The rms voltages across the capacitor and the lamp can add up to more than 200V, because the voltages are out of phase. the correct equation with complex numbers is I = 200/(R+jX). If you calculate the magnitudes you get $$I = \frac {200}{\sqrt{X^2 + R^2}}$$. since X is about 10 times as large as R, this doesn't differ much from 200/X