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  4. If a variable frequency ac source is connected to a capacitor then with decrease in frequency the displacement current will

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Q. If a variable frequency ac source is connected to a capacitor then with decrease in frequency the displacement current will

Electromagnetic Waves

Solution:

Current through capacitor,
$I = \frac{E}{X_{C}} = \frac{E}{\frac{I}{\omega C}}$
$ = \omega CE = 2\pi\upsilon\,CE \quad$ or $\quad I \propto \upsilon$.
$\therefore \quad$ decrease in frequency $\upsilon$ of ac source decreases the conduction current. As displacement current is equal to conduction current, decrease in $\upsilon$ decreases displacement current in circuit.