Question

In the given circuit, the AC source has $\omega$ = 50 rad/s considering the inductor and capacitor to be ideal, the correct choice(s) is/are

• A. The voltage across $100\Omega$ resistor = 20
• B. The voltage across $50\Omega$ resistor = 20
• C. The current through the circuit is $I=\frac{\sqrt{5}}{\sqrt{2}}A$
• D. The current through the circuit is I = 1.2 A

Answer 1

Answer: (A), (B), (C)

The correct options are
A The voltage across $100\Omega$ resistor = 20
B The voltage across $50\Omega$ resistor = 20
C The current through the circuit is $I=\frac{\sqrt{5}}{\sqrt{2}}A$


$I_1=\frac{20}{z_1}\times 2=\frac{2}{5\sqrt{2}}Aat{45}^{\circ }leading{I}_2=\frac{20}{z_2}=\frac{\sqrt{2}}{5}Aat{45}^{\circ }lagging{I}_{1_{R.M.S}}=\frac{1}{5}A{I}_{2_{R.M.S}}=\frac{2}{5}A$