Question: (b) (i) A circuit has a voltage v(t) = vocos (wt) applied to it and draws a current: i(t) = iocos (wt +) where

(b) (i) A circuit has a voltage v(t) = vocos (wt) applied

 

(b) (i) A circuit has a voltage v(t) = vocos (wt) applied to it and draws a current: i(t) = iocos (wt +) where is the constant phase difference between the voltage and current waveforms and all other symbols have the same meanings as in part (a) Starting with the following expression for the power dissipated over a cycle Show that this can be rewritten as volo 2 27 v(t)i(t)dt (cos() + cos(2wt)cos() - sin(2wt) sin())dt (ii) Given that 7, show that w [3] [6] volo P cos()

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