3. A given circuits in the Figure 3 below has an equivalent resistance 32 122 403 342 20 be Figure 1 (a) 5 Ohm (b) 6 Ohm (c) 8 Ohm (d) 10 Ohm

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**Title: Analysis of Circuit Equivalent Resistance**

**Text:**

3. A given circuit in Figure 1 below has an equivalent resistance. Determine the equivalent resistance.

**Diagram Explanation:**

The circuit diagram shown in Figure 1 consists of multiple resistors connected in a complex combination of parallel and series arrangements between two points \(a\) and \(b\). 

- **Resistor Values:**
  - Top branch: 3Ω in series with 6Ω
  - Middle branch: 12Ω in parallel with 4Ω
  - Bottom branch: 4Ω in series with (4Ω in parallel with 2Ω)

**Options for Equivalent Resistance:**

(a) 5 Ohm

(b) 6 Ohm

(c) 8 Ohm

(d) 10 Ohm

To find the equivalent resistance, the following steps should be considered:

1. Calculate the combined resistance for resistors in series and parallel.
2. Combine the calculated resistances to find the total equivalent resistance between points \(a\) and \(b\).

**Educational Objective:**
This exercise aims to strengthen your understanding of calculating equivalent resistance in complex circuits by identifying series and parallel resistor connections and applying the appropriate formulas.
Transcribed Image Text:**Title: Analysis of Circuit Equivalent Resistance** **Text:** 3. A given circuit in Figure 1 below has an equivalent resistance. Determine the equivalent resistance. **Diagram Explanation:** The circuit diagram shown in Figure 1 consists of multiple resistors connected in a complex combination of parallel and series arrangements between two points \(a\) and \(b\). - **Resistor Values:** - Top branch: 3Ω in series with 6Ω - Middle branch: 12Ω in parallel with 4Ω - Bottom branch: 4Ω in series with (4Ω in parallel with 2Ω) **Options for Equivalent Resistance:** (a) 5 Ohm (b) 6 Ohm (c) 8 Ohm (d) 10 Ohm To find the equivalent resistance, the following steps should be considered: 1. Calculate the combined resistance for resistors in series and parallel. 2. Combine the calculated resistances to find the total equivalent resistance between points \(a\) and \(b\). **Educational Objective:** This exercise aims to strengthen your understanding of calculating equivalent resistance in complex circuits by identifying series and parallel resistor connections and applying the appropriate formulas.
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