A100-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) ]

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