R₂ 2.50- E-18 V Ez-450 0.50 0.50 R₂ 1.50

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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Consider the circuit diagram depicted in the figure.

Part (a) If the current through the top branch is I2 = 0.025 A, what is the current through the bottom, I3, in amps?

The image displays an electrical circuit diagram with two voltage sources and several resistors. Below is a detailed description and transcription suitable for an educational context.

### Voltage Sources:
1. **\[ε_1 = 18 \, \text{V}\]**: Positioned on the left side of the circuit between points \(b\) and \(c\).
2. **\[ε_2 = 45 \, \text{V}\]**: Located on the bottom side of the circuit between points \(h\) and \(g\).

### Resistors:
1. **\[R_1\]**: Located in the middle of the circuit between points \(c\) and \(e\).
2. **\[R_2 = 2.5 \, \Omega\]**: Placed on the left side between points \(a\) and \(b\).
3. **\[R_3 = 1.5 \, \Omega\]**: Positioned on the right side between points \(e\) and \(f\).

### Internal Resistors of Voltage Sources:
1. **Internal resistor of \[ε_1\]: 0.5 \, \Omega\]**: Between points \(c\) and \(d\).
2. **Internal resistor of \[ε_2\]: 0.5 \, \Omega\]**: Between points \(g\) and \(f\).

### Current Flows:
- **\[I_1\]:** Flows to the right from point \(c\) to \(e\).
- **\[I_2\]:** Flows downward from point \(b\) to \(a\).
- **\[I_3\]:** Flows upward from point \(a\) to \(h\).

### Node Points:
- **\(a, b, c, d, e, f, g, h\):** Various nodes marking different parts of the circuit.

This circuit represents a complex network with two voltage sources and several resistors, demonstrating how current distributes in different branches. Each branch's current and the impact of internal and external resistances can be analyzed using Kirchhoff’s laws and Ohm’s law.
Transcribed Image Text:The image displays an electrical circuit diagram with two voltage sources and several resistors. Below is a detailed description and transcription suitable for an educational context. ### Voltage Sources: 1. **\[ε_1 = 18 \, \text{V}\]**: Positioned on the left side of the circuit between points \(b\) and \(c\). 2. **\[ε_2 = 45 \, \text{V}\]**: Located on the bottom side of the circuit between points \(h\) and \(g\). ### Resistors: 1. **\[R_1\]**: Located in the middle of the circuit between points \(c\) and \(e\). 2. **\[R_2 = 2.5 \, \Omega\]**: Placed on the left side between points \(a\) and \(b\). 3. **\[R_3 = 1.5 \, \Omega\]**: Positioned on the right side between points \(e\) and \(f\). ### Internal Resistors of Voltage Sources: 1. **Internal resistor of \[ε_1\]: 0.5 \, \Omega\]**: Between points \(c\) and \(d\). 2. **Internal resistor of \[ε_2\]: 0.5 \, \Omega\]**: Between points \(g\) and \(f\). ### Current Flows: - **\[I_1\]:** Flows to the right from point \(c\) to \(e\). - **\[I_2\]:** Flows downward from point \(b\) to \(a\). - **\[I_3\]:** Flows upward from point \(a\) to \(h\). ### Node Points: - **\(a, b, c, d, e, f, g, h\):** Various nodes marking different parts of the circuit. This circuit represents a complex network with two voltage sources and several resistors, demonstrating how current distributes in different branches. Each branch's current and the impact of internal and external resistances can be analyzed using Kirchhoff’s laws and Ohm’s law.
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