A resistor of 400 Ω

cbse
alternating-currents

#1

A resistor of 400 Ω, an inductor of 5/$\pi$H and a capacitor of 50/$\pi$µF are connected in series
across a source of alternating voltage of 140 sin100$\pi$tV. Find the voltage (rms) across the resistor, the inductor and the capacitor. Is the algebraic sum of these voltage more than the source voltage? If yes, resolve the paradox.


#2

Applied voltage, V = 140 sin 100 $\pi$t V
C = 50/$\pi$µF = 50/$\pi$ x ${{10}^{-6}}$ F
L = 5/$\pi$H, R = 400 Ω