Which waveform has linear ramps up and down?

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Multiple Choice

Which waveform has linear ramps up and down?

Explanation:
The waveform in which the amplitude changes with straight, constant slopes in both directions is the one that ramps up linearly and then ramps down linearly. In a triangle wave, each half cycle is a straight line: it rises at a constant rate from minimum to maximum, then falls at the same constant rate back to minimum. This creates the characteristic V-like shape with linear ramps. Other waveforms don’t have that double linear ramp. A sawtooth has a linear rise in one direction but a sudden drop in the other, so it doesn’t ramp both ways. A sine wave follows a smooth curved path, not straight-line ramps. A square wave sits at two levels with instant transitions, so there are no ramps at all. Triangle waves are often produced by integrating a square wave, which converts the abrupt transitions into constant-slope ramps, reinforcing why their up-and-down ramps are linear.

The waveform in which the amplitude changes with straight, constant slopes in both directions is the one that ramps up linearly and then ramps down linearly. In a triangle wave, each half cycle is a straight line: it rises at a constant rate from minimum to maximum, then falls at the same constant rate back to minimum. This creates the characteristic V-like shape with linear ramps.

Other waveforms don’t have that double linear ramp. A sawtooth has a linear rise in one direction but a sudden drop in the other, so it doesn’t ramp both ways. A sine wave follows a smooth curved path, not straight-line ramps. A square wave sits at two levels with instant transitions, so there are no ramps at all.

Triangle waves are often produced by integrating a square wave, which converts the abrupt transitions into constant-slope ramps, reinforcing why their up-and-down ramps are linear.

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