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When you charge a capacitor in an RC-circuit, the charge q in the capacitor is given by

[tex]q(t)=\epsilon C(1-e^{-\frac{t}{RC})[/tex]

I was wondering what happens when the resistor is absent, that is when the circuit contains only an emf and a capacitor. Also assume that the wires have zero resistance. Does the capacitor then charge and uncharge instantaneously? If true, why does it take time when a resistor is there? What is it about the resistor that it takes time to charge and uncharge a capacitor?

Thank you.

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# Capacitor in a circuit

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