Calculate the power associated with each source in the circuit. For each source specify if power is being supplied or absorbed. + 50 V 60 802 311 ww 20 .40 5 A 1

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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### Problem Statement:

4)  
a) Calculate the power associated with each source in the circuit. For each source specify if power is being supplied or absorbed.

### Circuit Description:

The circuit consists of the following elements:

1. **Voltage Source:**
   - A 50 V voltage source on the left side of the circuit.

2. **Current Source:**
   - A 5 A current source is positioned on the right side of the circuit.

3. **Resistors:**
   - A 6 Ω resistor is connected in series with the 50 V voltage source.
   - An 8 Ω resistor is in series with a voltage-controlled current source.
   - A 2 Ω resistor is connected in parallel with the 8 Ω resistor.
   - A 4 Ω resistor is connected in series with the current source.

4. **Voltage-Controlled Current Source:**
   - Positioned between the 8 Ω and 2 Ω resistors, with its output current denoted as \(3i_1\), where \(i_1\) is the current through the 6 Ω resistor.

### Diagram Explanation:

- **Series Connection**: 
  The 50 V source and the 6 Ω resistor form a series connection, directing current \(i_1\) through them.
  
- **Parallel Connection**:
  The 8 Ω and 2 Ω resistors are paralleled, across which the voltage-controlled current source \(3i_1\) is placed.

- **Node Connections**:
  \- All components join at nodes which distribute current according to Kirchhoff's laws.
  
- **Current Flow**:
  - Current \(i_1\) flows out from the positive terminal of the 50 V source through the 6 Ω resistor.
  - Current from the 5 A source splits between the resistor branches and recombines at the common node.

### Analysis Objective:

Determine the power delivered by or absorbed by the sources:
- Calculate power using \(P = VI\) for the voltage source.
- Calculate power as \(P = VI\) using the calculated voltage across or current through the source for the current source.
- Specify if each source is supplying or absorbing power based on direction considerations:
  - A source supplies power if the current exits from its positive terminal.
  - A source absorbs power if the current enters its positive terminal.
Transcribed Image Text:### Problem Statement: 4) a) Calculate the power associated with each source in the circuit. For each source specify if power is being supplied or absorbed. ### Circuit Description: The circuit consists of the following elements: 1. **Voltage Source:** - A 50 V voltage source on the left side of the circuit. 2. **Current Source:** - A 5 A current source is positioned on the right side of the circuit. 3. **Resistors:** - A 6 Ω resistor is connected in series with the 50 V voltage source. - An 8 Ω resistor is in series with a voltage-controlled current source. - A 2 Ω resistor is connected in parallel with the 8 Ω resistor. - A 4 Ω resistor is connected in series with the current source. 4. **Voltage-Controlled Current Source:** - Positioned between the 8 Ω and 2 Ω resistors, with its output current denoted as \(3i_1\), where \(i_1\) is the current through the 6 Ω resistor. ### Diagram Explanation: - **Series Connection**: The 50 V source and the 6 Ω resistor form a series connection, directing current \(i_1\) through them. - **Parallel Connection**: The 8 Ω and 2 Ω resistors are paralleled, across which the voltage-controlled current source \(3i_1\) is placed. - **Node Connections**: \- All components join at nodes which distribute current according to Kirchhoff's laws. - **Current Flow**: - Current \(i_1\) flows out from the positive terminal of the 50 V source through the 6 Ω resistor. - Current from the 5 A source splits between the resistor branches and recombines at the common node. ### Analysis Objective: Determine the power delivered by or absorbed by the sources: - Calculate power using \(P = VI\) for the voltage source. - Calculate power as \(P = VI\) using the calculated voltage across or current through the source for the current source. - Specify if each source is supplying or absorbing power based on direction considerations: - A source supplies power if the current exits from its positive terminal. - A source absorbs power if the current enters its positive terminal.
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