How To Find Voltage Across A Capacitor

How to Calculate the Voltage Across a Capacitor

Current flowing through a capacitor

To calculate the voltage beyond a capacitor, the formula is:

Formula for calculating voltage across a capacitor

All you must know to solve for the voltage beyond a capacitor is C, the capacitance of the capacitor which is expressed in units, farads, and the integral of the current going through the capacitor.If there is an initial voltage beyond the capacitor, and so this would be added to the resultant value obtained after the integral operation. Note that the initial value is denoted by, V0, if there is any.

And then at present that we've gone over the formula and each of the variables nosotros must know, let's go over a few examples.

Example
A capacitor initially has a voltage beyond it of 4V. If the current going through a capacitor is 500sin(50t) and its capacitance is 2F, then what is the voltage across the capacitor?

Example of the calculation of a voltage across a capacitor

So the capacitor initally has 4V across it (this is 4VDC). We tin can pull out the 500 from the integral. Doing the integral math, from the frequency of the current indicate, we get (i/50).Being that the integral of a sine function is negative cosine, this is why there is a negative sign in the math operation. Computing the results gives us the final answer of, 4 + -5cos(50t) Five.

Some other Example
If the current going through a capacitor is 10cos(1000t) and its capacitance is 5F, then what is the voltage across the capacitor?
(*Initial Atmospheric condition: The capactior has 0 volts beyond it initially)

Example of calculating voltage across a capacitor

In this example, there is no initial voltage, and so the initial voltage is 0V. We can pull the x from out of the integral. Doing the integral math, we pull out (1/yard). The integral of a cosine function is a sine office. Doing the math, this gives usa 0.002sin(1000t)Five or 2sin(1000t) mV.

To calculate this result through a reckoner to check your answers or but calculate problems, see our online calculator, Capacitor Voltage Calculator. This calculator lets you put in the current and capacitance to calculate the voltage across a capacitor.