What is the equivalent resistance (in ohm) between points a and b in the diagram above if R1 = 80.0 Ω, R2 = 25.0 Ω, R3 = 65.0 Ω, and R4 = 40.0 Ω ?

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What is the equivalent resistance (in ohm) between points a and b in the diagram above if R1 = 80.0 Ω, R2 = 25.0 Ω, R3 = 65.0 Ω, and R4 = 40.0 Ω ? 

### Electrical Circuit Diagram Explanation

This image illustrates a basic electrical circuit diagram, which includes four resistors:

1. **Resistor R1** is connected between nodes a and the junction leading to R3 and R4.
2. **Resistor R2** is connected in series, located between the nodes a and b.
3. **Resistor R3** and **Resistor R4** are connected in parallel with each other. This parallel arrangement is connected in series with R1 and R2, forming a complete circuit between nodes a and b.

**Diagram Details:**
- **Node a** is the entry point at the top of the diagram.
- **Node b** is the exit point at the bottom of the diagram.
- **Paths and Connections:** 
  - The current enters through node a, flows through R1, splits between R3 and R4, recombines, and continues through R2 before exiting through node b.

**Understanding the Circuit:**
- **Series and Parallel Configuration:** The circuit features a combination of series and parallel resistors. Resistors in parallel (R3 and R4) affect the total resistance by providing multiple pathways for the current, while resistors in series add their resistances together.
- **Effective Resistance Calculation:**
  - **Parallel Resistors (R3 and R4):** Use the formula \( \frac{1}{R_{\text{parallel}}} = \frac{1}{R3} + \frac{1}{R4} \).
  - **Total Resistance \( R_{\text{total}} \):** Add R1, R2, and the calculated parallel resistance: \( R_{\text{total}} = R1 + R_{\text{parallel}} + R2 \).

This configuration can be used to study how resistive components affect current flow and voltage distribution in circuits. It is a foundational concept in electrical engineering and physics.
Transcribed Image Text:### Electrical Circuit Diagram Explanation This image illustrates a basic electrical circuit diagram, which includes four resistors: 1. **Resistor R1** is connected between nodes a and the junction leading to R3 and R4. 2. **Resistor R2** is connected in series, located between the nodes a and b. 3. **Resistor R3** and **Resistor R4** are connected in parallel with each other. This parallel arrangement is connected in series with R1 and R2, forming a complete circuit between nodes a and b. **Diagram Details:** - **Node a** is the entry point at the top of the diagram. - **Node b** is the exit point at the bottom of the diagram. - **Paths and Connections:** - The current enters through node a, flows through R1, splits between R3 and R4, recombines, and continues through R2 before exiting through node b. **Understanding the Circuit:** - **Series and Parallel Configuration:** The circuit features a combination of series and parallel resistors. Resistors in parallel (R3 and R4) affect the total resistance by providing multiple pathways for the current, while resistors in series add their resistances together. - **Effective Resistance Calculation:** - **Parallel Resistors (R3 and R4):** Use the formula \( \frac{1}{R_{\text{parallel}}} = \frac{1}{R3} + \frac{1}{R4} \). - **Total Resistance \( R_{\text{total}} \):** Add R1, R2, and the calculated parallel resistance: \( R_{\text{total}} = R1 + R_{\text{parallel}} + R2 \). This configuration can be used to study how resistive components affect current flow and voltage distribution in circuits. It is a foundational concept in electrical engineering and physics.
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