If the times/division control of an oscilloscope is set to 50 microseconds, what is the corresponding frequency of the displayed waveform?

To determine the frequency of the displayed waveform when the time/division control of an oscilloscope is set to 50 microseconds, it's essential to understand the relationship between time period and frequency. The time period is the duration it takes for one complete cycle of the waveform to occur, while frequency is the number of cycles that occur in one second.

In this scenario, the time setting of 50 microseconds indicates that one division on the oscilloscope corresponds to this amount of time. Typically, oscilloscopes have multiple divisions on the screen, contributing to the total time that can be visualized.

To convert the time period into frequency, you use the formula:

[ \text{Frequency (f)} = \frac{1}{\text{Time period (T)}} ]

Given that the time period for one full cycle of the waveform is 50 microseconds, we first convert microseconds to seconds:

50 microseconds = 50 × (10^{-6}) seconds = (5 \times 10^{-5}) seconds.

Now, substituting into the frequency formula:

[ f = \frac{1}{5 \times 10^{-5}} = 20,000 , \text{Hz} =