The expression for inductive reactance (X_L) of an AC circuit is:

Question

Question

This question was previously asked in

ALP CBT 2 Electrician Official Paper (Held On: 23 Jan 2019 Shift 3)

Answer 1

Inductive reactance:

Inductive reactance (XL) is given by:

XL = ωL

ω = frequency in radian/sec which can be written as:

ω = 2πf

XL = ωL = 2πfL

f = frequency in Hz

L = value of inductor in Henry

From the above, we conclude that:

XL ∝ f (for a constant L)

The inductive reactance is directly proportional to frequency.

Important Points

Capacitive reactance:

Capacitive reactance is given by:

\({X_C} = \frac{1}{{ω C}}\)

With ω = 2πf

\({X_C} = \frac{1}{{2π fC}}\)

\({X_C} \propto \frac{1}{{ f}}\)

The capacitive reactance is inversely proportional to the frequency.