RC Circuit Capacitor Charging

Question

An RC circuit consists of a resistor of resistance $$R$$, a capacitor of capacitance $$C$$, and a battery with emf $$\varepsilon$$, all connected in series. The capacitor is initially uncharged. At time $$t=0$$, a switch is closed to complete the circuit. Which of the following gives the charge $$q(t)$$ on the capacitor as a function of time $$t$$?

Accepted Answer

$$q(t) = C\varepsilon(1 - e^{-t/RC})$$

Answer

$$q(t) = C\varepsilon e^{-t/RC}$$

Answer

$$q(t) = \varepsilon(1 - e^{-t/RC})$$

Answer

$$q(t) = \frac{\varepsilon}{R}(1 - e^{-t/RC})$$

RC Circuit Capacitor Charging

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