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ESE Electronics 2014 Paper 1: Official Paper

Option 1 : both L and f increase

CT 1: Network Theory 1

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__Inductive reactance__:

Inductive reactance (XL) is given by:

XL = ωL

With ω = 2πf

XL = ωL = 2πfL

f = frequency in Hz

L = value of inductor in Henry

__Observation__:

The inductive reactance X_{L} will increase when:

1) L increases

2) f increases

__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.