How do you calculate the amplitude of a waveform with a peak output of 100V at an angle of 45 degrees?

To determine the amplitude of a waveform, specifically when given a peak output and an angle, it's essential to understand the relationship between the peak voltage and its corresponding components. The peak voltage signifies the maximum value of the waveform, and the angle is typically used to represent a phase shift in alternating current (AC) circuits.

In the context of sinusoidal waveforms, the amplitude we often discuss relates to the effective or root-mean-square (RMS) voltage derived from the peak voltage. However, if we focus on interpreting the question in terms of its components using trigonometric functions, the peak voltage can be resolved into its vertical (Y-axis) component based on the angle provided.

The sine function relates to the vertical component of the waveform at any given angle. Thus, calculating the amplitude from the peak voltage at a specified angle would involve multiplying the peak voltage (100V in this case) by the sine of the angle (45 degrees). The sine of 45 degrees equals √2/2, which implies that the vertical component of the waveform, or the amplitude in this case, is derived purely from this sine relationship.

Therefore, multiplying the peak voltage by the sine of the angle provides the correct method to calculate the amplitude. This is why