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In the figure the ideal batteries have emfs &₁ = 4.89 V and ₂ = 10.2 V, the resistances are each 2.410, and the potential is defined to be zero at the grounded point of the circuit. What are potentials (a)V₁ and (b)V₂ at the indicated points? R₂ R R₁

In the figure the ideal batteries have emfs &₁ = 4.89 V and ₂ = 10.2 V, the resistances are each 2.410, and the potential is defined to be zero at the grounded point of the circuit. What are potentials (a)V₁ and (b)V₂ at the indicated points? R₂ R R₁

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
Section: Chapter Questions
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In the figure, the ideal batteries have electromotive forces (emfs) $\mathcal{E}_1 = 4.89 \text{ V}$ and $\mathcal{E}_2 = 10.2 \text{ V}$. The resistances are each $2.41 \, \Omega$, and the potential is defined to be zero at the grounded point of the circuit. What are the potentials (a) $V_1$ and (b) $V_2$ at the indicated points? **Circuit Diagram Explanation:** The circuit consists of five resistors, labeled $R_1$ to $R_5$, and two batteries with emfs $\mathcal{E}_1$ and $\mathcal{E}_2$. The circuit forms a closed loop with a branching point. - $R_1$ and $R_2$ are in series on the left branch with battery $\mathcal{E}_1$. - $R_3$ is located at the bottom between nodes $V_2$ and $V_1$. - $R_4$ and $R_5$ are in series on the right branch with battery $\mathcal{E}_2$. - The circuit is grounded at the bottom, indicating a defined zero potential. You are required to find the potentials at points $V_1$ and $V_2$. **Response Fields:** (a) Number [__________] Units [____] (b) Number [__________] Units [____]
Transcribed Image Text:In the figure, the ideal batteries have electromotive forces (emfs) $\mathcal{E}_1 = 4.89 \text{ V}$ and $\mathcal{E}_2 = 10.2 \text{ V}$. The resistances are each $2.41 \, \Omega$, and the potential is defined to be zero at the grounded point of the circuit. What are the potentials (a) $V_1$ and (b) $V_2$ at the indicated points? **Circuit Diagram Explanation:** The circuit consists of five resistors, labeled $R_1$ to $R_5$, and two batteries with emfs $\mathcal{E}_1$ and $\mathcal{E}_2$. The circuit forms a closed loop with a branching point. - $R_1$ and $R_2$ are in series on the left branch with battery $\mathcal{E}_1$. - $R_3$ is located at the bottom between nodes $V_2$ and $V_1$. - $R_4$ and $R_5$ are in series on the right branch with battery $\mathcal{E}_2$. - The circuit is grounded at the bottom, indicating a defined zero potential. You are required to find the potentials at points $V_1$ and $V_2$. **Response Fields:** (a) Number [__________] Units [____] (b) Number [__________] Units [____]
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