A 3.00 uF capacitor that is initially uncharged is connected in series with a re

Question

A 3.00 uF capacitor that is initially uncharged is connected in series with a resistor 5 MO and a 100 V emf source with negligible internal resistance.

The charge on the capacitor after one time constant is
a 189 uC b 300 uC c o uC d 100 uC e 1500 uC f None of these I know its not C
A 3.00 uF capacitor that is initially uncharged is connected in series with a resistor 5 MO and a 100 V emf source with negligible internal resistance.

The charge on the capacitor after one time constant is
a 189 uC b 300 uC c o uC d 100 uC e 1500 uC f None of these I know its not C

Explanation / Answer

Initially uncharged capacitor is connected in series with resistor             C = 3.00µ F , R = 5 M ohms           Maximum charge on the capacitor is q_0 = C V_0                                                                       = 3.00µF * 100 V                                                                        = 300µC       charge on the capacitor after one time constant is                   q = q_0 ( 1 - e ^ - t / RC )                       = 300µ C ( 1 - e ^ - 1/ 5*10^6 ohms * 3.00*10^-6 F )                        = 300µC

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