(D) The capacitive reactance is given by $X_C = \frac{1}{\omega C} = \frac{1}{2\pi f C}$.As the frequency $f$ decreases,the capacitive reactance $X_C$

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Displacement current decreases.

(D) The capacitive reactance is given by $X_C = \frac{1}{\omega C} = \frac{1}{2\pi f C}$.As the frequency $f$ decreases,the capacitive reactance $X_C$ increases.The displacement current $i_D$ in a capacitor is equal to the conduction current $i_C$,which is given by $i_D = i_C = \frac{V}{X_C} = V \cdot (2\pi f C)$.Since $i_D \propto f$,a decrease in frequency $f$ leads to a decrease in the displacement current $i_D$.

Class 12 Physics Alternating Current Only Inductor, Only Capacitor and Only Resistor Circuit

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An $AC$ source is connected to a capacitor $C$. Due to a decrease in its operating frequency:

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A
Capacitive reactance remains constant.
B
Capacitive reactance decreases.
C
Displacement current increases.
D
Displacement current decreases.

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An $AC$ source is connected to a capacitor $C$. Due to a decrease in its operating frequency:

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