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## Homework Statement

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.

## Homework Equations

For question (b)

Would I be correct to use the following equations?

Where:

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

Time Constant

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})

which equals:

Vc = 20(1-e

^{-t/5})

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