An alternating quantity following since law is called the sinusoidal quantity.

In practical electrical engineering it is assumed that the alternating voltages and currents follow since law, though they may slightly deviate from it. The advantage of this assumption is that calculations become simple. When speaking of alternating current e.m.f., voltage or magnetic flux, we shall take them as obeying since law.

Alternating e.m.f.  following since law is shown and is expressed in the from

e = Emax sin ωt

The rotating coil moves through and angle of 2π radians in one cycle, so angular varsity ω = 2πf  where f is the number of cycles completed per second.

Substituting 2πf above expression we get

e = Emax sin 2πft.

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