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Sketch a graph to show how the reactance...

Sketch a graph to show how the reactance of a capacitor varies as a function of frequency.

Text Solution

Verified by Experts

We Know, `X_C=1/(omegaC)=1/(2pifC)[becausef=omega/(2pi)]`
For constant `C,X_Cprop1/f`
So, the capacitive reactance is inversely proportional to the frequency of the current.
Thus, `f-X_C` graph is a rectangular hyperbola [Fig.2.37]
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Knowledge Check

  • The reactance of an inductor of inductance 1/pi H at frequency 50 Hz is

    A
    `50/piOmega`
    B
    `pi/50Omega`
    C
    `100Omega`
    D
    `50 Omega`

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