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Question
A capacitor with no dielectric is connected to a battery at t = 0. Consider a point A in the connecting wires and a point B between the plates.
(a) There is no current through A.
(b) There is no current through B.
(c) There is a current through A as long as the charging is not complete.
(d) There is a current through B as long as the charging is not complete.
Solution
(b) There is no current through B.
(c) There is a current through A as long as the charging is not complete.
As the capacitor is connected to the battery at t = 0, current flows through the wire up to the time the capacitor is charged. As the capacitor is completely charged, the potential difference across the capacitor is equal to the terminal potential of the battery. So, the current stops flowing and does not pass through the point between the plates of the capacitor, as there is no medium for the flow of charge.
