What is the equivalent resistance of the combinations of resistors between points A and B shown below: Α' B 8 Ω 12 Ω 6Ω 10 Ω 4Ω 252 ΑΛΛΑ 252 Μ ΕΩ 252 ΑΛΛΑ 252 252 Μι 202 ΔΩ

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Chapter1: Units, Trigonometry. And Vectors
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**Educational Content: Understanding Equivalent Resistance**

**Question:**
What is the equivalent resistance of the combinations of resistors between points A and B shown below?

**Diagram Explanation:**
The circuit diagram consists of resistors arranged in both series and parallel configurations:
- The top branch from A to B contains three resistors in series: two 2Ω resistors and one 4Ω resistor.
- The bottom branch has three 2Ω resistors in series.
- A 6Ω resistor connects the middle points of the top and bottom branches.

**Multiple Choice Options:**
- ○ 8 Ω
- ○ 12 Ω
- ○ 6 Ω
- ○ 10 Ω
- ○ 4 Ω

**Hint for Solving:**
Calculate the equivalent resistance using series and parallel resistor rules. For series, add the resistances directly. For parallel, use the formula:  
\[ \frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + ... \]

**Solution Steps (to be filled by the learner):**
1. Calculate the total resistance for the top and bottom branches.
2. Determine the equivalent resistance of the parallel connection with the 6Ω resistor.
3. Combine the calculated resistances to find the total equivalent resistance between A and B.
Transcribed Image Text:**Educational Content: Understanding Equivalent Resistance** **Question:** What is the equivalent resistance of the combinations of resistors between points A and B shown below? **Diagram Explanation:** The circuit diagram consists of resistors arranged in both series and parallel configurations: - The top branch from A to B contains three resistors in series: two 2Ω resistors and one 4Ω resistor. - The bottom branch has three 2Ω resistors in series. - A 6Ω resistor connects the middle points of the top and bottom branches. **Multiple Choice Options:** - ○ 8 Ω - ○ 12 Ω - ○ 6 Ω - ○ 10 Ω - ○ 4 Ω **Hint for Solving:** Calculate the equivalent resistance using series and parallel resistor rules. For series, add the resistances directly. For parallel, use the formula: \[ \frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + ... \] **Solution Steps (to be filled by the learner):** 1. Calculate the total resistance for the top and bottom branches. 2. Determine the equivalent resistance of the parallel connection with the 6Ω resistor. 3. Combine the calculated resistances to find the total equivalent resistance between A and B.
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