For a periodic waveform, defined the following.1, frequency, 2, period 3, root mean square value

Biology

ScanSolve AI Answer

Here are the definitions for the terms related to a periodic waveform:

  1. Frequency:

    • Frequency is the number of cycles or oscillations that a periodic waveform completes in one second. It measures how often a repeating event occurs. The standard unit for frequency is the hertz (Hz), where 1 Hz1 \text{ Hz} equals one cycle per second.
  2. Period:

    • The period is the time it takes for a periodic waveform to complete one full cycle. It is the reciprocal of frequency. The standard unit for period is the second (s).
    • The relationship between period (TT) and frequency (ff) is given by T=1fT = \frac{1}{f}.
  3. Root Mean Square (RMS) value:

    • The root mean square (RMS) value of a periodic waveform (like an alternating current or voltage) is the effective value that would produce the same average power dissipation in a resistive load as a DC current or voltage of the same magnitude. For a sinusoidal waveform, the RMS value is 12\frac{1}{\sqrt{2}} times its peak value.
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