A capacitor of 0.1 F and a resistor of 5 Ω are connected in series; the combination is applied to a step voltage of 20V. Determine the expression for the:
(a) current that flows in the circuit and
(b) the voltage across the capacitor in time domain.
For question (b)
Would I be correct to use the following equations?
Vc - is the voltage across the capacitor
V - is the supply voltage
t - is the elapsed time since the application of the supply voltage
RC - is the time constant of the RC charging circuit
e - is the base of the Natural Logarithm = 2.71828
τ = R x C
τ = 5 x 0.5
τ = 2.5 seconds
The voltage formula is given as:
Vc = V(1-e-t/RC)
Vc = 20(1-e-t/5)