Question
What will be the current through an ideal capacitor if it is connected across a $2 V$ battery?

Answer

In a DC circuit, the frequency ( $f$ ) of the applied emf is zero.
$\therefore$ Capacitive reactance, $\frac{1}{2 \pi f C}=\infty$
$\therefore$ The current through the capacitor will be zero.
(Note : The capacitor blocks DC and acts as an open circuit while it passes AC of high frequency.]

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