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

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ALP CBT 2 Electrician Official Paper (Held On: 23 Jan 2019 Shift 3)
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  1. 2πL
  2. 2πfL
  3. 2πf

Answer (Detailed Solution Below)

Option 2 : 2πfL
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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:

With ω = 2πf

The capacitive reactance is inversely proportional to the frequency.

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