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Question: Which of the following graphs represents the correct variation of capacitive reactance \(X_{C}\) wit...

Which of the following graphs represents the correct variation of capacitive reactance XCX_{C} with frequency υ?\upsilon?

A
B
C
D
Answer
Explanation

Solution

: Capacitive reactance,

XC=1ωC=12πυCX_{C} = \frac{1}{\omega C} = \frac{1}{2\pi\upsilon C}

XC1υ\Rightarrow X_{C} \propto \frac{1}{\upsilon}

With increase in frequency, XCX_{C}decreases. Hence, option (3) represents the corrent graph.