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

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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.
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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