A 100-volt electromotive force is applied to an rc-series circuit in which the resistance is 500 ohms and the capacitance is 10?4 farad. find the charge q (t) on the capacitor if q (0) = 0.'

We are given

V = 100 V

R = 500 Ω

C = 10^4 F

q (0) = 0

We are asked to find the charge q (t) of the RC capacitor.

To solve this, we use the formula:

q (t) = CV [1 - e^ (-t/RC) ]

Substituting thet given values

q (t) = 10^4 (100) [1 - e^ (-t/500 (10^4) ]

q (t) = 1 x 20^6 [1 - e^ (-2x10^7 t) ]

Since we only asked to get the charge q (t) in terms of t, the answer is

q (t) = 1 x 20^6 [1 - e^ (-2x10^7 t) ]