A resistor,an uncharged capacitor,a dc voltage source,and an open switch are all connected in series.The switch is closed at time t = 0 s.Which one of the following is a correct statement about this circuit?
A)The charge on the capacitor after four time constants is about 98% of the maximum value.
B)The charge on the capacitor after one time constant is 50% of its maximum value.
C)The charge on the capacitor after one time constant is 1/e of its maximum value.
D)The voltage on the capacitor after one time constant is 1/e of the maximum value.
E)The voltage on this capacitor after one time constant is 100% of its maximum value.

Question

Quizplus · Accepted Answer

After four time constants, the charge on the capacitor is approximately 98% of its maximum value, as the capacitor charges exponentially towards its maximum charge.

A Resistor,an Uncharged Capacitor,a Dc Voltage Source,and an Open Switch