The battery voltage is 85.8 V, and the resistances are R1 = 116 Ohms; R2 = 52 Ohms; R3 = 168 Ohms; R4 = 144 Ohms; R5 = 162 Ohms; and R6 = 184 Ohms. What is the equivalent resistance of this circuit? 162 Ohms 513 Ohms 270 Ohms 390 Ohms ### Circuit Diagram ExplanationThis diagram represents an electrical circuit with multiple resistors and a voltage source. Here is a detailed breakdown of its components and layout:1. **Voltage Source (V)**: A battery provides the electrical energy needed to drive current through the circuit.2. **Resistors**: - **R1**: This resistor is connected in series with both R2 and the parallel network containing R3, R4, R5, and R6. - **R2**: Positioned in series following R1. - **R3**: Connected parallel to the combination of R4, R5, and R6. - **R4, R5, R6**: - R4 is in series with the parallel combination of R5 and R6. - R5 and R6 are parallel to each other.3. **Connections**: - The circuit starts from the positive terminal of the voltage source. - Current flows through resistor R1, then continues through R2. - After R2, the circuit splits: one path includes R3, and the other path consists of the series-parallel arrangement of R4, R5, and R6. - Resistors R5 and R6 form a parallel connection, and their combination is in series with R4.### Analysis- **Series Path**: R1, R2- **Parallel Network**: R3 || (R4 + (R5 || R6))This circuit configurations allow for different total resistances and current flows, which can be analyzed using Ohm’s Law and the principles of series and parallel circuits. Understanding these relationships is essential for solving circuit equations and for practical applications in electrical engineering.

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Answered: The battery voltage is 85.8 V, and the…

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

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The battery voltage is 85.8 V, and the resistances are R1 = 116 Ohms; R2 = 52 Ohms; R3 = 168 Ohms; R4 = 144 Ohms; R5 = 162 Ohms; and R6 = 184 Ohms. What is the equivalent resistance of this circuit?

	162 Ohms
	513 Ohms
	270 Ohms
	390 Ohms

### Circuit Diagram Explanation

This diagram represents an electrical circuit with multiple resistors and a voltage source. Here is a detailed breakdown of its components and layout:

1. **Voltage Source (V)**: A battery provides the electrical energy needed to drive current through the circuit.

2. **Resistors**:
- **R1**: This resistor is connected in series with both R2 and the parallel network containing R3, R4, R5, and R6.
- **R2**: Positioned in series following R1.
- **R3**: Connected parallel to the combination of R4, R5, and R6.
- **R4, R5, R6**:
- R4 is in series with the parallel combination of R5 and R6.
- R5 and R6 are parallel to each other.

3. **Connections**:
- The circuit starts from the positive terminal of the voltage source.
- Current flows through resistor R1, then continues through R2.
- After R2, the circuit splits: one path includes R3, and the other path consists of the series-parallel arrangement of R4, R5, and R6.
- Resistors R5 and R6 form a parallel connection, and their combination is in series with R4.

### Analysis

- **Series Path**: R1, R2
- **Parallel Network**: R3 || (R4 + (R5 || R6))

This circuit configurations allow for different total resistances and current flows, which can be analyzed using Ohm’s Law and the principles of series and parallel circuits. Understanding these relationships is essential for solving circuit equations and for practical applications in electrical engineering.

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Step 1: Given parameters

$R subscript 1 equals 116 space capital omega R subscript 2 equals 52 space capital omega R subscript 3 equals 168 space capital omega R subscript 4 equals 144 space capital omega R subscript 5 equals 162 space capital omega R subscript 6 equals 184 space capital omega$

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