Asked in FBISE Physics 2023 — Paper 1 2023Moderate

An alternating voltage is given by 30sin157 the frequency of alternating voltage is:

Correct answer: B. 25Hz

  • A. 100Hz
  • B. 25Hz
  • C. 50Hz
  • D. 75Hz

Explanation

The equation for the alternating voltage you've provided is in the form of Vt=Vm sin(ωt)where:Vm is the peak voltage, andω is the angular frequency.In your case, Vm =30 and ω=157.The frequency f of the alternating voltage can be found from the angular frequency ω using the relation f=ω/2π Substituting ω=157 into the equation gives: f=157/2π ≈25HzSo, the frequency of the alternating voltage is approximately 25 Hz.

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About Phase of Alternating Current

Phase describes the position of an alternating voltage or current within its cycle and the phase difference between two sinusoidal quantities. The topic covers in phase signals, phase angle and lead or lag in resistive, inductive and capacitive circuits, rather than the amplitude or frequency of the supply.

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