The potential differences across the resistor, capacitor and inductor are 80 V, 40 and 100 V respectively in series LCR circuit. The power factor of this circuit is

Correct answer: C. 0.8 Given V_R = 80 V, V_C = 40 V, and V_L = 100 V. The total voltage V across the series LCR circuit is given by: V = V_R^2 + (V_L - V_C)^2 Substituting the given values: V = 80^2 + (100 - 40)^2 V = 80^2 + 60^2 V = 6400 + 3600 = 10000 = 100 V The power factor of the circuit is: φ = (V_R)/(V) φ = (80)/(100) = 0.8 Answer: 0.8

MHT CET 202623 AprilEvening Shift

Exam: MHT CET
Year: 2026
Date: 23 April
Shift: Evening Shift
Subject: Physics
Chapter: Alternating Current

MHT CET 2026 · 23 April · Evening Shift · Physics · Alternating Current

The potential differences across the resistor, capacitor and...

The potential differences across the resistor, capacitor and inductor are

80

40

and

100

V respectively in series LCR circuit. The power factor of this circuit is

Options

A $0.4$
B $0.5$
C $0.8$
D $1.0$

Correct answer

C. $0.8$

Step-by-step solution

Given

V_R = 80

V_C = 40

V, and

V_L = 100

V.

The total voltage

V

across the series LCR circuit is given by:

V = \sqrt{V_R^2 + (V_L - V_C)^2}

Substituting the given values:

V = \sqrt{80^2 + (100 - 40)^2}

V = \sqrt{80^2 + 60^2}

V = \sqrt{6400 + 3600} = \sqrt{10000} = 100

V

The power factor of the circuit is:

\cos \phi = \dfrac{V_R}{V}

\cos \phi = \dfrac{80}{100} = 0.8

Answer:

0.8

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