Verified Solution • 2025–26 Session moderate

QJEEM21Ph0971: JEE Main 2021 Physics - Class 12 JEEM21Ph0971 Solution: What happens to the inductive reactance and the current in a…

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

Multiple Choice Options

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

Step-by-Step Verified Solution

XL=ωL{X_L} = \omega L

XL′=(XL2)X{'_L} = \left( {{{{X_L}} \over 2}} \right)

∵\because I=VXLI = {V \over {{X_L}}}

& I′=2VXL=2II' = {{2V} \over {{X_L}}} = 2I

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