If the frequency of an alternating current is doubled while keeping the inductance constant, then the inductive reactance
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → is doubled
The inductive reactance is
\( \displaystyle X_{L} = \omega L = 2\pi f L \)
For a fixed inductance \( L \), \( X_{L} \propto f \). Doubling the frequency doubles \( X_{L} \).
NCERT (2026-27):
AC Voltage Applied to an Inductor – “… The quantity ωL is analogous to the resistance and is called inductive reactance, denoted by XL:
\( \displaystyle X_{L} = \omega L \qquad (7.13) \)
… The inductive reactance is directly proportional to the inductance and to the frequency of the current.”