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Consider a drcuk where an ideal Inductor Ln.144H is connedted in parallel to a resistor R1.00k. This combination is connected in series with a capactor C-3.67e-07 This combination in connected to a power wupply source of frequency f-3.4H. To study tNs creit you need to draw a phasor diagram. Note the sum of the current phasers through the resistor and the inductor must be equal to the phasor representing the curent through the capacitor (Le. the tokal current). You shoud draw the phascr for the current throgh the capadtor un the horlaontal axis, since this is ako the total ourrent delivered by the supply. The angle between this phasor and that of the power supply represents the phase angle . Note that the vultage across the inductor quais the voltage acros the resistor sinoe they comected paratlel to each other. Purthermore the sum of the phasors representing the currents throgh the Inductor and the resistor quals the phasor represeming the current through the capacitor. Remember that the curent through the resistor is n phase with the voltage scros the resistor; and the current through the inductor lags the voltage across the inductor by 90 degren. ) What is the phase angle between the ourrent through the resistor and the curent through the capactor? x degrens b) From the phasor diagram calculate the total impndance of the creult? You will need to retate the x and y componerts of the phasor represerting the power supply to the x nd y components of the phmors representing the voltages across the resistor and capacitor What is the volitage across the capacitor in terms of the power supply voltage, V,?

Consider a drcuk where an ideal Inductor Ln.144H is connedted in parallel to a resistor R1.00k. This combination is connected in series with a capactor C-3.67e-07 This combination in connected to a power wupply source of frequency f-3.4H. To study tNs creit you need to draw a phasor diagram. Note the sum of the current phasers through the resistor and the inductor must be equal to the phasor representing the curent through the capacitor (Le. the tokal current). You shoud draw the phascr for the current throgh the capadtor un the horlaontal axis, since this is ako the total ourrent delivered by the supply. The angle between this phasor and that of the power supply represents the phase angle . Note that the vultage across the inductor quais the voltage acros the resistor sinoe they comected paratlel to each other. Purthermore the sum of the phasors representing the currents throgh the Inductor and the resistor quals the phasor represeming the current through the capacitor. Remember that the curent through the resistor is n phase with the voltage scros the resistor; and the current through the inductor lags the voltage across the inductor by 90 degren. ) What is the phase angle between the ourrent through the resistor and the curent through the capactor? x degrens b) From the phasor diagram calculate the total impndance of the creult? You will need to retate the x and y componerts of the phasor represerting the power supply to the x nd y components of the phmors representing the voltages across the resistor and capacitor What is the volitage across the capacitor in terms of the power supply voltage, V,?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Consider a drcuk where an ideal inductor L=D.144H is connected in parallel to a resistor R=1.00k. This combination is connected in series with a capacitor C=3.67e-07. This combination in connected to a power supply source of frequency f-3.4kHz. To study this circuit you need to drawa phasor diagram. Note the sum cf the current phasors through the resistor and the inductor must be equal to the phasor representing the current through the capacitor fie. the total current). You should draw the phasor for the current through the capadtor on the horizontal axis, since this is also the total ourrent delivered by the supply. The angie between this phasor and that of the power supply represents the phase angle o. Note that the voltage across the inductor equals the voltage aoross the resistor since they conmected parallel to esch other. Furthermore the sum of the phasors representing the currents through the inductor and the resistor equals the phasor representing the current through the capacitor. Remember that the current through the resistor is in phase with the voitage across the resistor; and the current through the inductor legs the voltage across the inductor by 90 degrees. a) What is the phase angle A between the current through the resistor and the curert through the capacitor? x degrees b) From the phasor diagram calculate the total impedance of the circult? You will need to relate the x end y components of the phasor representing the power supply to the x and y components of the phasors representing the valtages across the resistor and cepactor. 2,- Jx ohme ) What is the voitage across the capacitor in terms of the power supply voltage, V x Vs C) if the amplitude of the power supply is V"14.0 volts, what is the amplitude of the voltage V? One possible approsch is to use the phasor diagram for the voitages and the law of cosines. You can also figure out I, and multiply by R. VR Jx v ) what is the current (in ma) thraugh the capacitor? x mA f) what is the phase angle p between the power supply vokage and the current through the capecitor? A positive value means the power supply voltege leads the current and a negative value mesns the current leads the voltage x degrees s) Calculete the power dissipated by the resistor. x watts h) Calculate the power delivered by the power supply. Ps- x watts
Transcribed Image Text:Consider a drcuk where an ideal inductor L=D.144H is connected in parallel to a resistor R=1.00k. This combination is connected in series with a capacitor C=3.67e-07. This combination in connected to a power supply source of frequency f-3.4kHz. To study this circuit you need to drawa phasor diagram. Note the sum cf the current phasors through the resistor and the inductor must be equal to the phasor representing the current through the capacitor fie. the total current). You should draw the phasor for the current through the capadtor on the horizontal axis, since this is also the total ourrent delivered by the supply. The angie between this phasor and that of the power supply represents the phase angle o. Note that the voltage across the inductor equals the voltage aoross the resistor since they conmected parallel to esch other. Furthermore the sum of the phasors representing the currents through the inductor and the resistor equals the phasor representing the current through the capacitor. Remember that the current through the resistor is in phase with the voitage across the resistor; and the current through the inductor legs the voltage across the inductor by 90 degrees. a) What is the phase angle A between the current through the resistor and the curert through the capacitor? x degrees b) From the phasor diagram calculate the total impedance of the circult? You will need to relate the x end y components of the phasor representing the power supply to the x and y components of the phasors representing the valtages across the resistor and cepactor. 2,- Jx ohme ) What is the voitage across the capacitor in terms of the power supply voltage, V x Vs C) if the amplitude of the power supply is V"14.0 volts, what is the amplitude of the voltage V? One possible approsch is to use the phasor diagram for the voitages and the law of cosines. You can also figure out I, and multiply by R. VR Jx v ) what is the current (in ma) thraugh the capacitor? x mA f) what is the phase angle p between the power supply vokage and the current through the capecitor? A positive value means the power supply voltege leads the current and a negative value mesns the current leads the voltage x degrees s) Calculete the power dissipated by the resistor. x watts h) Calculate the power delivered by the power supply. Ps- x watts
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