In the figure battery 1 has emf 81= 14.0 V and internal resistance r = 0.040 Q and battery 2 has emf 82= 14.0 V and internal resistance r2 = %3D 0.018 Q. The batteries are connected in series with an external resistance R. (a) What R value makes the terminal-to-terminal potential difference of one of the batteries zero? (b) Which battery is that? E2 Units (a) Number (b) battery 1

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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In the figure, battery 1 has an electromotive force (emf) \( \varepsilon_1 = 14.0 \, \text{V} \) and an internal resistance \( r_1 = 0.040 \, \Omega \). Battery 2 has an emf \( \varepsilon_2 = 14.0 \, \text{V} \) and an internal resistance \( r_2 = 0.018 \, \Omega \). The batteries are connected in series with an external resistance \( R \).

**Problem Statement:**

**(a)** What \( R \) value makes the terminal-to-terminal potential difference of one of the batteries zero?

**(b)** Which battery is that?

**Circuit Diagram Description:**

The circuit diagram shows two batteries, each with its emf and internal resistance, arranged in series. The external resistance \( R \) is also in series with these batteries. The direction of the emf for both batteries is indicated upwards.

**Answer input fields:**

- For part (a), there is a numeric input field to enter the value of \( R \) with a dropdown to select units, defaulting to \( \Omega \).

- For part (b), a dropdown menu allows selection of either "battery 1" or "battery 2".
Transcribed Image Text:In the figure, battery 1 has an electromotive force (emf) \( \varepsilon_1 = 14.0 \, \text{V} \) and an internal resistance \( r_1 = 0.040 \, \Omega \). Battery 2 has an emf \( \varepsilon_2 = 14.0 \, \text{V} \) and an internal resistance \( r_2 = 0.018 \, \Omega \). The batteries are connected in series with an external resistance \( R \). **Problem Statement:** **(a)** What \( R \) value makes the terminal-to-terminal potential difference of one of the batteries zero? **(b)** Which battery is that? **Circuit Diagram Description:** The circuit diagram shows two batteries, each with its emf and internal resistance, arranged in series. The external resistance \( R \) is also in series with these batteries. The direction of the emf for both batteries is indicated upwards. **Answer input fields:** - For part (a), there is a numeric input field to enter the value of \( R \) with a dropdown to select units, defaulting to \( \Omega \). - For part (b), a dropdown menu allows selection of either "battery 1" or "battery 2".
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