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Find the potential difference between point a and point b for the situation shown below. Here  emf1 = 12.0 V emf2 = 8.27 V  R1 = 4.13 Ω, R2 = 5.44 Ω, R3 = 2.28 Ω.

Find the potential difference between point a and point b for the situation shown below. Here  emf1 = 12.0 V emf2 = 8.27 V  R1 = 4.13 Ω, R2 = 5.44 Ω, R3 = 2.28 Ω.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Find the potential difference between point a and point b for the situation shown below. Here 

emf1 = 12.0 V

emf2 = 8.27 V

 R1 = 4.13 Ω,

R2 = 5.44 Ω,

R3 = 2.28 Ω.

 

The diagram shows an electric circuit consisting of two voltage sources and three resistors. Here is the detailed description: 1. **Components:** - Resistors: \( R_1 \), \( R_2 \), and \( R_3 \) - Voltage Sources: \( \varepsilon_1 \) and \( \varepsilon_2 \) 2. **Connections:** - \( R_1 \) is connected in series with the voltage source \( \varepsilon_1 \). - \( R_2 \) and \( R_3 \) are connected in series with each other. - The combination of \( R_2 \) and \( R_3 \) is in parallel with the combination of \( R_1 \) and \( \varepsilon_1 \). - The voltage source \( \varepsilon_2 \) is connected in series with \( R_2 \). 3. **Circuit Nodes:** - Node \( a \) is the junction point where \( R_1 \), \( R_2 \), and \( R_3 \) connect. - Node \( b \) is connected to the negative terminals of both voltage sources. 4. **Equation:** - There is a box indicating the need to calculate \( V_a - V_b \), the potential difference between nodes \( a \) and \( b \). This setup is typically used to demonstrate principles related to series and parallel circuits, as well as Kirchhoff's circuit laws.
Transcribed Image Text:The diagram shows an electric circuit consisting of two voltage sources and three resistors. Here is the detailed description: 1. **Components:** - Resistors: \( R_1 \), \( R_2 \), and \( R_3 \) - Voltage Sources: \( \varepsilon_1 \) and \( \varepsilon_2 \) 2. **Connections:** - \( R_1 \) is connected in series with the voltage source \( \varepsilon_1 \). - \( R_2 \) and \( R_3 \) are connected in series with each other. - The combination of \( R_2 \) and \( R_3 \) is in parallel with the combination of \( R_1 \) and \( \varepsilon_1 \). - The voltage source \( \varepsilon_2 \) is connected in series with \( R_2 \). 3. **Circuit Nodes:** - Node \( a \) is the junction point where \( R_1 \), \( R_2 \), and \( R_3 \) connect. - Node \( b \) is connected to the negative terminals of both voltage sources. 4. **Equation:** - There is a box indicating the need to calculate \( V_a - V_b \), the potential difference between nodes \( a \) and \( b \). This setup is typically used to demonstrate principles related to series and parallel circuits, as well as Kirchhoff's circuit laws.
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