A resistor $30 \Omega$, inductor of reactance $10 \Omega$ and capacitor of reactance $10 \Omega$ are

Question

A resistor $30 \Omega$, inductor of reactance $10 \Omega$ and capacitor of reactance $10 \Omega$ are connected in series to an a.c voltage source $\mathrm{e}=300 \sqrt{2} \sin (\omega \mathrm{t})$. The current in the circuit is\

Professor PC Thomas Classes · Answer

(B)Total impedance $=\mathrm{Z}=\mathrm{rR}^{2}+\left(\mathrm{X}_{\mathrm{C}}-\mathrm{X}_{\mathrm{L}}ight)^{2}$ But $\mathrm{X}_{\mathrm{L}}=\mathrm{X}_{\mathrm{C}}=10 \Omega$\ $	herefore \mathrm{Z}=30 \Omega, \mathrm{~V}_{\mathrm{rms}}=300 \mathrm{Vas}_{	ext {max }}=300 \sqrt{2} \mathrm{~V}$\ The current, $\mathrm{I}_{\mathrm{rms}}=\frac{300}{30}=10 \mathrm{~A}$\