Ԑ = ωAB sin ωt
or
Ԑ = Ԑmax sin ωt
where
Ԑmax = ωAB
ω is the angular speed of rotating coil, A is the cross-sectional area of the coil, B is the magnetic field that the coil is rotated through.
the resulting alternating current in the coil was found to be
i = (Ԑmax /R) sin ωt
ω related to the frequency of the alternating current by
ω = 2∏f
The effective current and voltage in an AC circuit
- current, i start from 0 increase in one direction until reaches max value i(max)
- decrease to 0 and increase again in the opposite direction
- increase negatively to -i(max)
alternating current i as
i = imax sin(2∏ft)
effective current ieff is defined as a constant current that generates heat in a resistor R at the same rate as an alternating current
i = = 0.707imax
voltage,
V = imax Rsin(2∏ft), imax R = Vmax
hence,
V = Vmax (2∏ft)
Veff =
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