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If the instantaneous value of a voltage in an AC circuit of the communication system (at...

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Basic Math

If the instantaneous value of a voltage in an AC circuit of thecommunication system (at any time t seconds) is given by V=142sin(8?t-0.125?) volts, determine:

1). Given that the voltage waveform can also be represented asV=Rsin(?t+?), use compound angle identities to resolve theresultant voltage waveform into its two component waveforms: asin?tand bcos?t.

2). In another circuit the voltage, V is made up of twocomponents v1 = (A/3)Sin(t) and v2 = (A/2)Cos(t). Sketch the twocomponent waveforms and the resulting waveform V= (A/3)Sin(t) +(A/2)Cos(t) on the same axes and estimate from your graph theequation of the combined waveform. Also analytically calculate,showing all your working, the parameters (R&?) of the equationof the combined waveform if represented as V=Rsin(?t+?), giving ?in radians.

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