Question

An alternating voltage is represented by the equation V=220 sin(400 πt × 57,3)v. Calculate

a) The range value of this voltage
b) The rms value of this voltage
c) The form factor

Answer 1

[AI-generated answer — Bot GPT 3.5]

a) The range value of the voltage is the difference between the maximum and minimum values. In this case, the maximum value of the voltage is 220 V and the minimum value is -220 V. Therefore, the range value is:

Range = Maximum value - Minimum value
= 220 V - (-220 V)
= 440 V

b) The rms (root mean square) value of the voltage is given by the formula:

Vrms = (Amplitude)/√2

In this case, the amplitude is 220 V. Therefore, the rms value is:

Vrms = 220 V / √2
≈ 155.6 V

c) The form factor is the ratio of the rms value to the average value. The average value of a sine wave is 0, so the form factor is:

Form factor = Vrms / 0
= Undefined or infinite

Since the average value of a sine wave is 0, the form factor is undefined or infinite.