A series LCR circuit is connected to an a.c. source of 220 V, 50 Hz. The circuit contains a resistance R = 80 Ω, an inductor of inductive reactance 70 Ω and capacitor of capacitive reactance 130 Ω. The power factor of the circuit is x/10. The value of x is (a) 8 (b) 6 (c) 4 (d) 7

Answer: (a). Z = √(80² + (130 - 70)²) = √(6400 + 3600) = 100 Ω. cos φ = R/Z = 80/100 = 8/10, so x = 8. So the answer is (a) 8.

A series LCR circuit is connected to an a.c. source of 220 V, 50 Hz… | MHT CET 2026 (15 Apr, Shift 1)

Q13MHT CET 2026 · 15 APR · SHIFT 1Medium

Power, Power Factor & Wattless Current

A series LCR circuit is connected to an a.c. source of $220$ V, $50$ Hz. The circuit contains a resistance $R = 80\ \Omega$ , an inductor of inductive reactance $70\ \Omega$ and capacitor of capacitive reactance $130\ \Omega$ . The power factor of the circuit is $\frac{x}{10}$ . The value of x is

Show answer and solution

Answer: (a)

$Z = \sqrt{80^2 + (130 - 70)^2} = \sqrt{6400 + 3600} = 100\ \Omega$ .
$\cos\phi = \frac{R}{Z} = \frac{80}{100} = \frac{8}{10}$ , so $x = 8$ .
So the answer is (a) 8.

Report a mistake

Power, Power Factor & Wattless Current question from MHT CET 2026 (15 Apr, Shift 1)

More questions on Power, Power Factor & Wattless Current