Find the capacitance of the capacitor that have a reactance of 100 Ω when used with an a.c source of frequency 5/ $π$ kHz.

Given,
Reactance of the capacitance,

χ_{C} = 100 Ω

Therefore,
Using the formula, we get capacitance C as

X_{C} = \frac{1}{ωC}

\Rightarrow

C = \frac{1}{{ωX}_{C}} = \frac{1}{2 {πfX}_{C}}

C = \frac{1}{2 π \times \frac{5}{π} \times 1000 \times 100} = 1 μF .

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