A rectangular waveform with a duty cycle of exactly 50% (equal high and low times within each period) is more specifically referred to as a:

Difficulty: Easy

Correct Answer: square wave

Explanation:


Introduction:
Different periodic waveforms are classified by shape and timing metrics. Duty cycle is a key descriptor for rectangular waveforms. This question verifies that a 50% duty cycle rectangular wave is called a square wave.



Given Data / Assumptions:

  • Rectangular waveform with equal high and low durations.
  • Ideal edges and fixed period T.
  • Symmetry about the mid-level.


Concept / Approach:
Rectangular waves become square waves when the duty cycle equals 50%, meaning the signal is high for T/2 and low for T/2 each period. Sawtooth and triangle waves vary linearly between levels; they are not rectangular. An impulse train consists of narrow pulses with low duty cycle, not 50% rectangular.



Step-by-Step Solution:
1) Identify waveform family: rectangular.2) Check duty cycle: D = 50% → high time equals low time.3) By definition, a 50% rectangular wave is a square wave.4) Conclude with the specific term “square wave”.


Verification / Alternative check:
Fourier series symmetry: a square wave contains only odd harmonics with 1/n amplitude, consistent with equal high/low symmetry; non-50% rectangular waves exhibit even harmonic content as well.



Why Other Options Are Wrong:
C wave: not a standard term.

Sawtooth: linear rise with sharp fall (or vice versa), not rectangular.

Triangle: symmetrical linear rise and fall, not flat tops/bottoms.

Impulse train: consists of very brief pulses, not 50% duty.



Common Pitfalls:
Assuming any rectangular wave is a square wave; 50% duty is the defining condition.



Final Answer:
square wave

More Questions from Alternating Current vs Direct Current

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion