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  4. Which of the following graphs represents the correct variation of capacitive reactance Xc with frequency upsilon ?

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Q. Which of the following graphs represents the correct variation of capacitive reactance $X_c$ with frequency $\upsilon$ ?

Alternating Current

Solution:

Capacitive reactance,
$X_{C}=\frac{1}{\omega\,C}$
$=\frac{1}{2\pi\upsilon\,C}$
$\Rightarrow X_{C} \propto \frac{1}{\upsilon}$
With increase in frequency, $X_c$ decreases.
Hence, represents the correct graph.