Alternating Current

JEE Main level, single correct, medium

77 of 190

Question 77 of 190


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 }

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Answer: (D) A=XC,B=XLA={X}_{C},B={X}_{L}

The formula to calculate the inductive reactance is
XL=ωL...(1){X}_{L}=\omega L...\left(1\right)
The formula to calculate capacitive reactance is

XC=(1ωC)...(2){X}_{C}=\left(\dfrac{1}{\omega C}\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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