Find the potential difference between point a and point b for the situation shown below. Here 1 = 12.0 V, 2 = 9.27 V and R1 = 3.73 Ω, R2 = 6.44 Ω, and R3 = 2.08 Ω.

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Find the potential difference between point a and point b for the situation shown below. Here 1 = 12.0 V, 2 = 9.27 V and R1 = 3.73 Ω, R2 = 6.44 Ω, and R3 = 2.08 Ω.

 

Va − Vb
This image is a schematic diagram of an electric circuit consisting of resistors and voltage sources. 

**Components:**

1. **Resistors:**
   - \( R_1 \): Positioned vertically on the right side of the circuit.
   - \( R_2 \): Positioned on the left side, and it's connected in parallel with \( R_1 \).
   - \( R_3 \): Positioned in between \( R_1 \) and \( R_2 \), connecting both branches of the circuit.

2. **Voltage Sources:**
   - \( \mathcal{E}_1 \): Connected in series with \( R_1 \) on the right branch.
   - \( \mathcal{E}_2 \): Connected in series with \( R_2 \) on the left branch.

**Nodes:**
- Node \( a \): The top common point where \( R_1 \) and \( R_3 \) meet.
- Node \( b \): The bottom common point where \( R_2 \) connects to the rest of the circuit.

**Circuit Description:**

- The circuit forms a loop, connecting all components in a manner that allows currents to flow through both parallel branches formed by the pairs \( (R_1, \mathcal{E}_1) \) and \( (R_2, \mathcal{E}_2) \).
- The central resistor \( R_3 \) bridges these branches, allowing for analysis of current distribution.
  
This configuration can be used to discuss topics like Kirchhoff's laws, analyzing parallel and series resistive circuits, and understanding the effects of multiple voltage sources in a circuit.
Transcribed Image Text:This image is a schematic diagram of an electric circuit consisting of resistors and voltage sources. **Components:** 1. **Resistors:** - \( R_1 \): Positioned vertically on the right side of the circuit. - \( R_2 \): Positioned on the left side, and it's connected in parallel with \( R_1 \). - \( R_3 \): Positioned in between \( R_1 \) and \( R_2 \), connecting both branches of the circuit. 2. **Voltage Sources:** - \( \mathcal{E}_1 \): Connected in series with \( R_1 \) on the right branch. - \( \mathcal{E}_2 \): Connected in series with \( R_2 \) on the left branch. **Nodes:** - Node \( a \): The top common point where \( R_1 \) and \( R_3 \) meet. - Node \( b \): The bottom common point where \( R_2 \) connects to the rest of the circuit. **Circuit Description:** - The circuit forms a loop, connecting all components in a manner that allows currents to flow through both parallel branches formed by the pairs \( (R_1, \mathcal{E}_1) \) and \( (R_2, \mathcal{E}_2) \). - The central resistor \( R_3 \) bridges these branches, allowing for analysis of current distribution. This configuration can be used to discuss topics like Kirchhoff's laws, analyzing parallel and series resistive circuits, and understanding the effects of multiple voltage sources in a circuit.
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