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An AC power supply is in series with a 30 μF capacitor and a parallel structure...

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Electrical Engineering

An AC power supply is in series with a 30 μF capacitor and aparallel structure with a 100 Ω resistor and a 300 mH inductor. Thepower supply produces electricity at frequency of 60 cycles /second with an RMS voltage of 120.0 V.

a) What is the formula (including appropriate units) forfunction of the voltage of the power supply (w.r.t. time when timeis in seconds) assuming the voltage was started at its maximumpositive value?

b) Draw the full phasor diagram when the resistance voltagephasor is at π/6 . Include identifying angles for the 8 phasors (ε_0,V_r ,V_c ,V_L ,I_p ,I_r ,I_c ,I_L ).

c) What are the equations for the voltages across and currentsinto each component? (There are 8 equations in all.)

d) Assume the voltage from the power supply starts at itsmaximum positive value, what is first time when resistance voltagephasor is at π/6 ?

e) At that moment in part (d), what are the instantaneousvoltages across each of the four components, and what are theinstantaneous currents into each of the four components?

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