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MHT CET 202623 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
23 April
Shift
Morning Shift
Subject
Physics
Chapter
Alternating Current

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

In a series LCR circuit, the resistance (R), inductive reactance...

In a series LCR circuit, the resistance (R), inductive reactance XL=2RX_L = 2R and capacitive reactance XC=RX_C = R. The impedance of the circuit is

Options

  1. ARR
  2. B2R2R
  3. C20.5R2^{0.5}R
  4. D30.5R3^{0.5}R

Correct answer

C. 20.5R2^{0.5}R

Step-by-step solution

The impedance of a series LCR circuit is given by the formula:

Z=R2+(XL−XC)2Z = \sqrt{R^2 + (X_L - X_C)^2}

Given that XL=2RX_L = 2R and XC=RX_C = R, substitute these values into the formula:

Z=R2+(2R−R)2Z = \sqrt{R^2 + (2R - R)^2}

Z=R2+R2Z = \sqrt{R^2 + R^2}

Z=2R2Z = \sqrt{2R^2}

Z=2R=20.5RZ = \sqrt{2}R = 2^{0.5}R

Answer: 20.5R2^{0.5}R
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