As shown in this Figure, what is the equivalent resistance of the circuit if all resistors R = 180.0 omega The image displays a schematic of an electrical circuit consisting of five resistors. Here's a detailed description of the circuit:1. **Series and Parallel Configuration:** - The circuit starts with a resistor connected in series with the circuit loop. - Following the first resistor, the wire splits into two branches, indicating a parallel configuration. 2. **Parallel Branches:** - The upper branch consists of two resistors in series. - The lower branch has a single resistor connected in series between the split paths.3. **Reconnection:** - After the parallel setup, the branches reconvene into a single path. - Finally, there is another resistor connected in series, completing the circuit back to the original line.This type of circuit is often used to teach the analysis of series and parallel resistances, allowing for calculations of equivalent resistance and the application of Ohm's Law.

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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As shown in this Figure, what is the equivalent resistance of the circuit if all resistors R = 180.0 omega

The image displays a schematic of an electrical circuit consisting of five resistors. Here's a detailed description of the circuit:

1. **Series and Parallel Configuration:**
- The circuit starts with a resistor connected in series with the circuit loop.
- Following the first resistor, the wire splits into two branches, indicating a parallel configuration.

2. **Parallel Branches:**
- The upper branch consists of two resistors in series.
- The lower branch has a single resistor connected in series between the split paths.

3. **Reconnection:**
- After the parallel setup, the branches reconvene into a single path.
- Finally, there is another resistor connected in series, completing the circuit back to the original line.

This type of circuit is often used to teach the analysis of series and parallel resistances, allowing for calculations of equivalent resistance and the application of Ohm's Law.

Expert Solution

Step 1: Resistance in the parallel connection

The two resistances on the right side are connected in parallel. The net resistance for this parallel combination will be:

$table row cell 1 over R subscript p equals 1 over R subscript 1 plus 1 over R subscript 2 end cell row cell 1 over R subscript p equals fraction numerator 1 over denominator 180 text end text capital omega end fraction plus fraction numerator 1 over denominator 180 text end text capital omega end fraction end cell row cell R subscript p equals 90 text end text capital omega end cell end table$

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