Question

How to calculate the time period of an AC waveform?

Answer 1

To calculate the time period of an AC waveform, you need to know the frequency of the waveform. The time period (T) of an AC waveform is the time it takes for one complete cycle to occur. The formula to calculate the time period is:

T = 1 / f

Where:
T = Time period (in seconds)
f = Frequency of the AC waveform (in Hertz)

Here's a step-by-step guide on how to calculate the time period:

Step 1: Find the frequency (f) of the AC waveform
If you are given the frequency directly, you can skip this step. Otherwise, if you have information about the number of cycles per second or the time it takes for a few cycles to occur, you can determine the frequency (f) using the following formula:

f = 1 / T_c

Where:
f = Frequency (in Hertz)
T_c = Time taken for one cycle (in seconds)

Step 2: Calculate the time period (T)
Using the frequency (f) obtained in step 1, you can now calculate the time period (T) using the formula:

T = 1 / f

Example:
Let's say you have an AC waveform with a frequency of 50 Hz. To calculate the time period, use the formula:

T = 1 / 50
T ≈ 0.02 seconds (20 milliseconds)

So, the time period of the given AC waveform is approximately 20 milliseconds.

Keep in mind that the time period of an AC waveform is the reciprocal of its frequency. As the frequency increases, the time period decreases, and vice versa.