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Answer :
Final answer:
Angular frequency and frequency are different measures of rotation or oscillation rate. Angular frequency is used in expressions of the induced EMF in a generator. The North American electrical grid operates at a frequency, not an angular frequency. The maximum EMF in an AC generator occurs when the magnetic flux is momentarily zero.
Explanation:
The difference between angular frequency ω and frequency f is that angular frequency is a measure of how quickly an object or a system is rotating or oscillating in radians per unit of time, while frequency is a measure of how many complete cycles occur in one second. The angular frequency ω is used in expressions of the induced EMF in a generator because it is directly related to the rate at which the magnetic field lines passing through the generator coil change, which determines the magnitude of the induced EMF.
The North American electrical grid operates at a frequency of 60.0 Hz, which refers to the number of complete cycles occurring in one second. Therefore, 60.0 Hz is a frequency, not an angular frequency.
In an AC generator, the maximum EMF occurs when the magnetic flux ΦB is momentarily zero because this corresponds to the maximum rate of change of magnetic flux. When the magnetic flux is zero, the magnetic field is changing most rapidly, resulting in a larger magnitude of the induced EMF.
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