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Using the Voltage Divider rule for the circuit shown below, find: Total Impedance The voltage across the Resistor VR The voltage across the Inductor VL  The Voltage across the Capacitor VC

Using the Voltage Divider rule for the circuit shown below, find: Total Impedance The voltage across the Resistor VR The voltage across the Inductor VL  The Voltage across the Capacitor VC

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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  1. Using the Voltage Divider rule for the circuit shown below, find:
  1. Total Impedance
  2. The voltage across the Resistor VR
  3. The voltage across the Inductor VL 
  4. The Voltage across the Capacitor VC 
  5. V1 as shown.
  6. Draw all voltages on the Complex Plane
**Using the Voltage Divider rule for the circuit shown below, find:** a) Total Impedance b) The voltage across the Resistor \( V_R \) c) The voltage across the Inductor \( V_L \) d) The Voltage across the Capacitor \( V_C \) e) \( V_1 \) as shown. f) Draw all voltages on the Complex Plane **Circuit Description:** - The circuit features a resistor, inductor, and capacitor connected in series with a source of electromotive force (EMF). - Resistor (\( R \)) = 6 Ω - Inductor Reactance (\( X_L \)) = 9 Ω - Capacitor Reactance (\( X_C \)) = 17 Ω - The applied voltage \( E = 50V \angle 30^\circ \) **Circuit Diagram Explanation:** - The circuit diagram includes an AC voltage source with a magnitude of 50V and a phase angle of 30 degrees. - The resistor is marked with the voltage \( V_R \) across it. - The inductor is marked with the voltage \( V_L \) across it. - The capacitor is marked with the voltage \( V_C \) across it. - The voltage \( V_1 \) is shown as the total voltage across the elements in series. - The polarities for each component's voltage are shown. For educational purposes, this circuit can be used to teach concepts such as impedance, phasor diagrams, and the applications of the voltage divider rule in AC circuits.
Transcribed Image Text:**Using the Voltage Divider rule for the circuit shown below, find:** a) Total Impedance b) The voltage across the Resistor \( V_R \) c) The voltage across the Inductor \( V_L \) d) The Voltage across the Capacitor \( V_C \) e) \( V_1 \) as shown. f) Draw all voltages on the Complex Plane **Circuit Description:** - The circuit features a resistor, inductor, and capacitor connected in series with a source of electromotive force (EMF). - Resistor (\( R \)) = 6 Ω - Inductor Reactance (\( X_L \)) = 9 Ω - Capacitor Reactance (\( X_C \)) = 17 Ω - The applied voltage \( E = 50V \angle 30^\circ \) **Circuit Diagram Explanation:** - The circuit diagram includes an AC voltage source with a magnitude of 50V and a phase angle of 30 degrees. - The resistor is marked with the voltage \( V_R \) across it. - The inductor is marked with the voltage \( V_L \) across it. - The capacitor is marked with the voltage \( V_C \) across it. - The voltage \( V_1 \) is shown as the total voltage across the elements in series. - The polarities for each component's voltage are shown. For educational purposes, this circuit can be used to teach concepts such as impedance, phasor diagrams, and the applications of the voltage divider rule in AC circuits.
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