An uncharged capacitor and a resistor are connected in series to a battery as shown. If $\varepsilon$ = 15 V,C = 20 $\mu$F,and R = 4.0 $\times$ 10⁵ $\Omega$,the charge on the capacitor as a function of time is A)Q(t)= 600 (1 - e^-0.125^t)$\mu$C B)Q(t)= 300 (1 - e^-0.250^t)$\mu$C C)Q(t)= 300 (1 - e^-0.125^t)$\mu$C D)Q(t)= 600 (1 - e^-0.250^t)$\mu$C E)Q(t)= 150 (1 - e^-0.750^t)$\mu$C

Question

Quizplus · Accepted Answer

The charge on the capacitor as a function of time can be given by the equation Q(t) = Q0 (1 - e-t/RC), where Q0 is the initial charge on the capacitor, R is the resistance, C is the capacitance, and t is time. Plugging in the given values, we get Q(t) = 300 (1 - e-t/8000). Simplifying the exponent, we get Q(t) = 300 (1 - e-0.000125t). Therefore, the correct choice is C.

An Uncharged Capacitor and a Resistor Are Connected in Series ε\varepsilonε

An Uncharged Capacitor and a Resistor Are Connected in Series $\varepsilon$