V2 Vi e a (+ I ww (+ I VR, ミVR, VR 2 C. + ww VR ww VR 3. d + + ww

Introductory Circuit Analysis (13th Edition)
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Find v_fb in the circuit. V1 = 20 V, V2 = 10 V, VR1= 2V, VR2= 4V, VR3= 1V, VR4 = 5V, VR5= 1V. Assume that the network current direction is clockwise (left to right)

## Circuit Diagram with Voltage Sources and Resistors

This diagram represents an electrical circuit comprising of two voltage sources (V1 and V2) and five resistors (VR1, VR2, VR3, VR4, and VR5). Below are the details on the various components and their connections:

### Components

1. **Voltage Sources:**
   - **V1:** Located at the top-right portion of the diagram, between nodes `f` and `e`. It has a positive terminal on the left and a negative terminal on the right.
   - **V2:** Located at the top-left portion of the diagram, between nodes `a` and `g`. It has a positive terminal on the left and a negative terminal on the right.

2. **Resistors:**
   - **VR1:** Connected between nodes `g` and `f`, positioned horizontally at the top-center.
   - **VR2:** Connected between nodes `e` and `d`, positioned vertically at the right side.
   - **VR3:** Connected between nodes `d` and `c`, positioned horizontally at the bottom-right.
   - **VR4:** Connected between nodes `c` and `b`, positioned horizontally at the bottom-center.
   - **VR5:** Connected between nodes `b` and `a`, positioned vertically at the left side.

### Connection Points (Nodes):
- **a, b, c, d, e:** Primary nodes where components are connected.
- **f, g:** Intermediate nodes connecting resistors and voltage sources.

### Paths:
- **Path aggfae:** Runs from node `a` through `g` to `f`, then reaches node `e`. This path includes Voltage Source `V2` and Resistor `VR1`.
- **Path eb:** Runs from node `e` vertically down to node `b`. This path includes Resistor `VR2`.
- **Path:
- **abe:** Completes the loop from node `a` vertically down to node `b`, horizontally to node `c`, and vertically up to node `d`, ending at node `e`. This path includes Resistor `VR5`, Resistor `VR4`, and Resistor `VR3`.

In summary, this circuit diagram illustrates a combination of series and parallel configurations of resistors and voltage sources. The direction of current flow and potential differences across components are defined by the polarity symbols indicated on the diagram.
Transcribed Image Text:## Circuit Diagram with Voltage Sources and Resistors This diagram represents an electrical circuit comprising of two voltage sources (V1 and V2) and five resistors (VR1, VR2, VR3, VR4, and VR5). Below are the details on the various components and their connections: ### Components 1. **Voltage Sources:** - **V1:** Located at the top-right portion of the diagram, between nodes `f` and `e`. It has a positive terminal on the left and a negative terminal on the right. - **V2:** Located at the top-left portion of the diagram, between nodes `a` and `g`. It has a positive terminal on the left and a negative terminal on the right. 2. **Resistors:** - **VR1:** Connected between nodes `g` and `f`, positioned horizontally at the top-center. - **VR2:** Connected between nodes `e` and `d`, positioned vertically at the right side. - **VR3:** Connected between nodes `d` and `c`, positioned horizontally at the bottom-right. - **VR4:** Connected between nodes `c` and `b`, positioned horizontally at the bottom-center. - **VR5:** Connected between nodes `b` and `a`, positioned vertically at the left side. ### Connection Points (Nodes): - **a, b, c, d, e:** Primary nodes where components are connected. - **f, g:** Intermediate nodes connecting resistors and voltage sources. ### Paths: - **Path aggfae:** Runs from node `a` through `g` to `f`, then reaches node `e`. This path includes Voltage Source `V2` and Resistor `VR1`. - **Path eb:** Runs from node `e` vertically down to node `b`. This path includes Resistor `VR2`. - **Path: - **abe:** Completes the loop from node `a` vertically down to node `b`, horizontally to node `c`, and vertically up to node `d`, ending at node `e`. This path includes Resistor `VR5`, Resistor `VR4`, and Resistor `VR3`. In summary, this circuit diagram illustrates a combination of series and parallel configurations of resistors and voltage sources. The direction of current flow and potential differences across components are defined by the polarity symbols indicated on the diagram.
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