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Time Response of Reactive Circuits - Engineering

Q1:

A single 6 V pulse with a width of 600 s is applied to an integrator consisting of a 150 k resistor and a 0.002 F capacitor. To what voltage will the capacitor charge?

A 0 V

B 3.78 V

C 5.16 V

D 6 V

ANS:C - 5.16 V

tc = RC = 150x10^3 x 0.002x10^-6 = 300x10^-6
Vc = Vs[1-e^-t/tc]
Vc = 6[1-e^-600x10^-6/300x10^-6]
Vc = 6[1-e^-2]
Vc = 5.18 volts

Which is ~ 5.16 volts. Hope that helped :)