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

An AC power supply is in series with a 30 μF capacitor and a parallel structure with a 100 Ω resistor and a 300 mH inductor. The power 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) for function of the voltage of the power supply (w.r.t. time when time is in seconds) assuming the voltage was started at its maximum positive value?

b) Draw the full phasor diagram when the resistance voltage phasor 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 currents into each component? (There are 8 equations in all.)

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

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

Expert Solution

Manojponduru answered 1 year ago

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