Answer :
The time period (T) of the AC source is approximately 0.0167 seconds, and the angular frequency (ω) is approximately 376.99 radians per second.
What is Alternating current?
An alternating current (AC) is an electrical current that periodically reverses its direction. Unlike direct current (DC), which flows continuously in one direction, AC alternates between positive and negative cycles. In an AC circuit, the electrons periodically change their direction of flow, resulting in a sinusoidal waveform.
We have an AC source connected between points A and D in the figure. The AC source has a peak voltage (δvmax) of 175 V and operates at a frequency (f) of 60.0 Hz. The peak voltage represents the maximum positive or negative value reached by the voltage during each cycle of the AC waveform, while the frequency indicates the number of complete cycles occurring per second.
Now, let's calculate the time period (T) and angular frequency (ω) associated with this AC source.
The time period (T) can be calculated using the formula:
[tex]T = 1 / f[/tex]
Substituting the given frequency, we get:
[tex]T = 1 / 60.0 Hz\\T = 0.0167[/tex]seconds
The angular frequency (ω) can be calculated using the formula:
ω =[tex]2{\pi}f[/tex]
Substituting the given frequency, we get:
ω = 2π × 60.0 Hz
ω ≈ 376.99 radians per second
So, the time period (T) of the AC source is approximately 0.0167 seconds, and the angular frequency (ω) is approximately 376.99 radians per second.
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