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I'm trying to find the derivation for the alternating signal. For example,

let b=width of loop

a=length of loop

Hence,

[tex]ε=vLB=vaB=ωraB=\frac{1}{2}ωabB=\frac{1}{2}ωAB[/tex]

I cannot seem to find the derivation of how one gets from this step, to the sinusoidal waveform. Any help is greatly appreciated.

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# Alternatic Current Derivation

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