Consider an RC (resistor-capacitor) AC circuit with a supply voltage of Vac = 200 V, with an angular frequency, w, a resistor, R = 100 , and a capacitor, C. Assume the angular frequency of the power supply is set at w = 1/RC. (a) What is the impedance, Z of the circuit? (b) What is the current in the circuit? (c) What is the (peak) voltage drop across the resistor and the capacitor, respectively? (d) Draw the phasor diagram for this situation. (e) What is the phase angle between the current and the power supply voltage? (f) What would the ratio of L/C have to be if an inductor were added to the circuit in series that made the circuit purely resistive (Z = R)?
Consider an RC (resistor-capacitor) AC circuit with a supply voltage of Vac = 200 V, with an angular frequency, w, a resistor, R = 100 , and a capacitor, C. Assume the angular frequency of the power supply is set at w = 1/RC. (a) What is the impedance, Z of the circuit? (b) What is the current in the circuit? (c) What is the (peak) voltage drop across the resistor and the capacitor, respectively? (d) Draw the phasor diagram for this situation. (e) What is the phase angle between the current and the power supply voltage? (f) What would the ratio of L/C have to be if an inductor were added to the circuit in series that made the circuit purely resistive (Z = R)?
College Physics
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Chapter1: Units, Trigonometry. And Vectors
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
Transcribed Image Text:Consider an RC (resistor-capacitor) AC circuit with a supply voltage of Vac = 200 V, with
an angular frequency, w, a resistor, R = 100 £2, and a capacitor, C. Assume the angular
frequency of the power supply is set at w = 1/RC. (a) What is the impedance, Z of the
circuit? (b) What is the current in the circuit? (c) What is the (peak) voltage drop across
the resistor and the capacitor, respectively? (d) Draw the phasor diagram for this situation.
(e) What is the phase angle between the current and the power supply voltage? (f) What
would the ratio of L/C have to be if an inductor were added to the circuit in series that
made the circuit purely resistive (Z = R)?
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