### The voltage across a capacitor equation

As you know the capacitor stores the electricity and releases the same. Here the voltage across a capacitor V_{(V)} in volts is equal to the capacitive reactance Xc in ohms times of the capacitor current in Amps. The capacitor voltage formula will be,

V_{(V)} = I_{(A)} x Xc

Volts = Amps x capacitive reactance

Here the capacitive reactance Xc is equal to the 0.159 divided by frequency and the capacitance. Hence the voltage across the capacitor equation will be

V_{(V) } = 0.159 x I_{(A)} / (f_{(Hz)} x C_{(F)})

### Capacitor voltage for the non-sinusoidal wave:

Capacitor voltage Vc is equal to the integration of the current I_{(A)} in amps divided by the capacitance C_{(F)} in Farad. The formula will be,

V = (1/C) x ∫Idt

__Example:__

Let us calculate the voltage across the 3-farad capacitor and the current flow is 10sin10t Amps.

The voltage across the capacitor is,

V = (1/3) ∫10*sin10t

= – 3.3 cos10t volts

Capacitor voltage formula with charge:

The voltage across the capacitor V_{(V)} in volts is equal to the ratio between the charge Q_{(c)} in coulomb to the capacitance C_{(F)} in farad.

The capacitor voltage V_{(V)} = Q_{(c)} / C_{(F)}