(B) The inductive reactance is given by $X_{L} = \omega L = 2\pi f L$. Since $X_{L} \propto f$,if the frequency $f$ is halved,the inductive reactance

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Inductive reactance will be halved and current will be doubled.

(B) The inductive reactance is given by $X_{L} = \omega L = 2\pi f L$. Since $X_{L} \propto f$,if the frequency $f$ is halved,the inductive reactance $X_{L}$ will also be halved. The current in a purely inductive circuit is given by $I = \frac{V}{X_{L}}$. Since $I \propto \frac{1}{X_{L}}$,if the inductive reactance $X_{L}$ is halved,the current $I$ will be doubled. Therefore,the inductive reactance is halved and the current is doubled.

Class 12 Physics Alternating Current Only Inductor, Only Capacitor and Only Resistor Circuit

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What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved?

JEE MAIN 2021 All JEE MAIN

A
Both,inductive reactance and current will be halved.
B
Inductive reactance will be halved and current will be doubled.
C
Inductive reactance will be doubled and current will be halved.
D
Both,inductive reactance and current will be doubled.

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What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved?

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