Physics Alternating Current ETEA 2015
PMDC Verified Question 107 of 127
Which of the following is the smoothest waveform?
A
Sinusoidal waveform
B
Triangular waveform
C
Saw-tooth shape waveform
D
Rectangular waveform
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Sinusoidal waveform
Concept:

A pure sinusoidal wave consists of a single, continuous harmonic frequency without higher-order harmonic distortions or sharp discontinuities.

Formula / Reaction:

$$y(t) = A \sin(\omega t)$$

Solution:

  • Square, triangular, and saw-tooth waves contain sharp corners and infinite series of higher-frequency odd/even harmonics (Fourier components).


  • A sine wave has a perfectly smooth, infinitely differentiable mathematical profile containing zero harmonic distortion, making it the smoothest AC waveform.


Why other options are incorrect:

  • Opt_B: Triangular waveforms have sharp periodic slope reversals.


  • Opt_C: Saw-tooth waveforms have discontinuous vertical drop-offs.


  • Opt_D: Rectangular waveforms have instantaneous step discontinuities.

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