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JEE Main 202311 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
11 April
Shift
Morning Shift
Subject
Physics
Chapter
Alternating Current

JEE Main 2023 · 11 April · Morning Shift · Physics · Alternating Current

As per the given graph, choose the correct representation for curve...

As per the given graph, choose the correct representation for curve A and curve B Where X _ C = Reactance of pure

As per the given graph, choose the correct representation for curve AA and curve BB
{Where XC={X}_{C} = Reactance of pure capacitive circuit connected with A.C. source
XL={X}_{L} = Reactance of pure inductive circuit connected with A.C. source
R=R = Impedance of pure resistive circuit connected with A.C. source
Z=Z = Impedance of the LCRLCR series circuit }

Options

  1. AA=XC,B=RA = {X}_{C}, B = R
  2. BA=XL,B=RA = {X}_{L}, B = R
  3. CA=XL,B=ZA = {X}_{L}, B = Z
  4. DA=XC,B=XLA = {X}_{C}, B = {X}_{L}

Correct answer

D. A=XC,B=XLA = {X}_{C}, B = {X}_{L}

Step-by-step solution

The formula to calculate the inductive reactance is

XL=\omegaL...(1){X}_{L} = \omegaL . . . \left(1\right)

The formula to calculate capacitive reactance is

XC=(1\omegaC)...(2){X}_{C} = \left(\dfrac{1}{\omegaC}\right) . . . \left(2\right)

As can be seen from equation (1), the inductive reactance varies directly with the frequency and equation (2) indicates that capacitive reactance varies inversely with the frequency.

Hence, curve AA represents the capacitive reactance and curve BB represents the inductive reactance.

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