An alternating emf has an effective value of 176,75v and a time period of 0,01 seconds. Determine
a) The maximum value of this emf
b) The form factor
c) the frequency of this emf
d) mathematical equation representing this emf
a) The maximum value of the emf can be found using the relation:
Maximum value = Effective value / √2
Maximum value = 176.75 V / √2 ≈ 125.00 V
b) Form factor is defined as the ratio of effective value to the maximum value. Mathematically,
Form factor = Effective value / Maximum value
Form factor = 176.75 V / 125.00 V ≈ 1.414
c) Frequency can be calculated using the relation:
Frequency = 1 / Time period
Frequency = 1 / 0.01 s = 100 Hz
d) The mathematical equation representing this emf can be written as:
emf(t) = (Maximum value) * sin(2π * frequency * t)
emf(t) = 125.00 V * sin(2π * 100 Hz * t)