Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Superposition Theorem
The superposition theorem is applied to linear systems. For such systems, the output from two different inputs equals the sum of the outputs from each input separately. On applying this theorem many times we get the output from any number of inputs equal…
Question

In the following circuit use superposition and calculate Vx.  . Solve it by superposition. 

This diagram represents an electric circuit containing various components: 1. **Resistors**: - A 6-ohm (Ω) resistor is located on the left side of the circuit. - A 2-ohm (Ω) resistor is positioned on the right side, in series with a dependent voltage source. 2. **Voltage Sources**: - A dependent voltage source labeled \( 2V_x \) is depicted with a diamond shape, indicating it provides voltage proportional to another variable in the circuit (in this case, \( V_x \)). - An independent 12-volt (V) voltage source is placed vertically in the center of the circuit. 3. **Current Source**: - A 4-amp (A) independent current source is located at the bottom of the circuit, directing current counter-clockwise. 4. **Dependent Voltage Variable**: - The voltage \( V_x \) is across the 2-ohm resistor on the right, indicated by "+ \( V_x \) -". This schematic is an example of a complex circuit with dependent and independent sources, suitable for analysis using techniques such as mesh or nodal analysis to determine current and voltage across various components.
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Transcribed Image Text:This diagram represents an electric circuit containing various components: 1. **Resistors**: - A 6-ohm (Ω) resistor is located on the left side of the circuit. - A 2-ohm (Ω) resistor is positioned on the right side, in series with a dependent voltage source. 2. **Voltage Sources**: - A dependent voltage source labeled \( 2V_x \) is depicted with a diamond shape, indicating it provides voltage proportional to another variable in the circuit (in this case, \( V_x \)). - An independent 12-volt (V) voltage source is placed vertically in the center of the circuit. 3. **Current Source**: - A 4-amp (A) independent current source is located at the bottom of the circuit, directing current counter-clockwise. 4. **Dependent Voltage Variable**: - The voltage \( V_x \) is across the 2-ohm resistor on the right, indicated by "+ \( V_x \) -". This schematic is an example of a complex circuit with dependent and independent sources, suitable for analysis using techniques such as mesh or nodal analysis to determine current and voltage across various components.
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