**Calculating Potential Difference Across Terminals of a Battery in a Circuit****Objective:**To find the potential difference across the terminals of the battery in which chemical energy is being converted to electrical potential energy.**Given Data:**- \( \mathcal{E}_1 \) (Electromotive force of the first battery) = 10.9 V- \( R \) (Resistance in the circuit) = 17.3 Ω- \( \mathcal{E}_2 \) (Electromotive force of the second battery) = 4.6 V- \( r \) (Internal resistance of each battery) = 1.0 Ω**Circuit Explanation:**The circuit diagram consists of two batteries and three resistors. The batteries have electromotive forces \( \mathcal{E}_1 \) and \( \mathcal{E}_2 \), and internal resistances both have a value of 1.0 Ω. These are in a configuration where:- The resistor value \( R \) is connected in parallel with respect to the batteries.- Each battery has its internal resistance in series with it.**Detailed Circuit Analysis:**1. Identify battery configuration: - Battery \( \mathcal{E}_1 \) and its internal resistance \( 1.0 \, \Omega \) are connected in series as one loop. - Similarly, battery \( \mathcal{E}_2 \) and its internal resistance \( 1.0 \, \Omega \) are in series as another loop. - The two loops are connected in parallel to a resistor \( R \), which is 17.3 Ω.2. By Kirchhoff's Voltage Law (KVL): To find the overall potential difference across the terminals, we analyze either of the loops. We apply KVL to each circuit: - For Loop 1 (with \( \mathcal{E}_1 \)): \[ V_{\text{loop1}} = \mathcal{E}_1 - I_1 \cdot 1.0 \, \Omega \] - For Loop 2 (with \( \mathcal{E}_2 \)): \[ V_{\text{loop2}} = \mathcal{E}_2 - I_2 \cdot 1.0 \, \Omega \]Where \( I

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In the figure below, find the potential difference across the terminals of the battery in which chemical energy is being converted to electrical potential energy. (Take &₁ = 10.9 V, R = 17.3 , and E₂ = 4.6 V.) E₁ 1.02 1.02 E2 www R

In the figure below, find the potential difference across the terminals of the battery in which chemical energy is being converted to electrical potential energy. (Take &₁ = 10.9 V, R = 17.3 , and E₂ = 4.6 V.) E₁ 1.02 1.02 E2 www R

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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