Consider the RC circuit shown in the figure below where a light bulb and a capacitor, initially uncharged are connected in series to a battery with emf V through a switch S. After the switch is closed, what happens to the potential difference, Vc, and the electric field Ec, between the capacitor plates?
A) both increases linearly
B) both increase with time but not linearly
C) Vc increases while Ec decreases
D) both start high and decay rapidly
E) both remain constant in time
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