The waveform you will display is described by the following formula: 5sin(2500πt)[V]. What is the period of the waveform? Answer in the box below – notice that the units are to be in milliseconds.
ms
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A sinusoid may be expressed as follows: Asin(ωt) in which ‘A’ is the amplitude, ‘ω’ is it’s radian frequency [rad/s], and ‘t’ is time in seconds. We want the period. Let’s first convert the radian frequency into ‘frequency’ which is given as cycles/second or Hz. To do so, we use the following formula: ω = 2πf. What is the frequency of our waveform, 5sin(2500πt) [V]? Answer in the box below – notice that the units are to be in Hz.
Hz
The radian frequency in the example is ω = 2500π rad/s. Click continue to try again.
The period (T) of the waveform, that is the time it take s the waveform to complete one cycle is given by: T = 1/f. Given the frequency above, what is the period of the waveform? Note that the answer is to be given in milliseconds.
The correct response answer is 1/2500 Hz = 0.8 ms.