Answer :
If the frequency is doubled, then the capacitive reactance is halved and the current is doubled.
Relationship between frequency, capacitive reactance and current:
Capacitive Reactance can be defined as the internal impedance of the capacitor which restricts the current flowing in it, while the capacitor is charged or discharged. The symbol of capacitive reactance is Xc and is measured in Ohms. This capacitive reactance has a big effect on whenever there is any change in the frequency applied.
As the frequency of the capacitor is increased, it passes more charge across the plates which lead to a greater current flow, thus decreasing the internal impedance or capacitive reactance. Hence when the frequency doubles, the capacitive reactance is reduced to just half and the current is doubled.
Equation:
Xc = 1/wc
Where w - - > angular frequency of current,
C - - > capacitance
Hence,
Xc = 1/ 2πfc
Xc ∝ 1/f
This means, when frequency doubles, the capacitive reactance gets halved.
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