Answer: 75,000 Hz
Step-by-step explanation:
To calculate the frequency of the supply voltage, we need to use the formula:
frequency = 1 / time period
where the time period is the time it takes for one complete cycle of the waveform. For a sine wave, the time period is given by:
time period = 2π / angular frequency
where the angular frequency is the rate of change of the angle with respect to time and is given by:
angular frequency = 2π × frequency
Comparing the given voltage expression v = 240 sin (471,239t) V to the general form of a sine wave:
v = Vm sin(ωt + θ)
where Vm is the amplitude, ω is the angular frequency, t is time, and θ is the phase angle, we can see that the amplitude is 240 V, the angular frequency is 471,239 rad/s, and there is no phase angle (θ = 0).
Using the formula for angular frequency, we can find the frequency:
angular frequency = 2π × frequency
471,239 = 2π × frequency
frequency = 471,239 / (2π) ≈ 75,000 Hz
Therefore, the frequency of the supply voltage is approximately 75,000 Hz.
Hope this helps, :^)