If the period of an AC sine wave is 180 ms, the frequency is
f=1/T=1/10⁻³=1000 Hz
Period (P) = 1/F
To determine the frequency of an alternating current (AC) sine wave when given the period, you can use the formula:
Frequency = 1 / Period
In this case, the period is given as 180 ms (milliseconds).
To find the frequency, plug in the given period value into the formula:
Frequency = 1 / (180 ms)
Note: It's essential to convert the period to seconds before calculating the frequency.
To convert milliseconds to seconds, divide the period value by 1000:
Frequency = 1 / (180 ms / 1000)
Simplifying this equation:
Frequency = 1 / (0.18 s)
Evaluating the expression:
Frequency = 5.56 Hz (rounded to two decimal places)
Therefore, the frequency of the AC sine wave is approximately 5.56 Hz.