### Educational Content: Understanding Circuit Behavior with Variable Resistors**Circuit Overview:**A variable resistor \( R \) is connected across the terminals of a battery. The impact of changing \( R \) on the current \( I \) in the circuit is demonstrated in the accompanying graph.**Graph Explanation:**- **Axes Details:** - The x-axis represents the resistance \( R \) in ohms \((\Omega)\), ranging from 0 to 40. - The y-axis represents the current \( I \) in amperes (A), ranging from 0 to 6.- **Graph Behavior:** - As the resistance \( R \) increases, the current \( I \) decreases. The graph exhibits a negative slope, indicating an inverse relationship between resistance and current. **Part A: Electromotive Force (emf) Calculation**- **Question:** What is the electromotive force (emf) of the battery?- **Instruction:** Express your answer in volts (V) to two significant figures.- **Input Box:** \( \mathcal{E} = \) [Input field for student response] V**Part B: Internal Resistance Calculation**- **Question:** What is the internal resistance of the battery?- **Instruction:** Express your answer in ohms \((\Omega)\) to two significant figures.- **Input Box:** \( r = \) [Input field for student response] \(\Omega\)This exercise invites students to analyze the graph to determine the battery’s emf and internal resistance by utilizing their understanding of Ohm's Law and circuit behavior.

Resistance R is connected across the terminal of the battery.

Answered: A variable resistor R is connected…

A variable resistor R is connected across the terminals of a battery. (Figure 1) shows the current in the circuit as R is varied.

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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Question

### Educational Content: Understanding Circuit Behavior with Variable Resistors

**Circuit Overview:**
A variable resistor \( R \) is connected across the terminals of a battery. The impact of changing \( R \) on the current \( I \) in the circuit is demonstrated in the accompanying graph.

**Graph Explanation:**
- **Axes Details:**
- The x-axis represents the resistance \( R \) in ohms \((\Omega)\), ranging from 0 to 40.
- The y-axis represents the current \( I \) in amperes (A), ranging from 0 to 6.

- **Graph Behavior:**
- As the resistance \( R \) increases, the current \( I \) decreases. The graph exhibits a negative slope, indicating an inverse relationship between resistance and current.

**Part A: Electromotive Force (emf) Calculation**
- **Question:** What is the electromotive force (emf) of the battery?
- **Instruction:** Express your answer in volts (V) to two significant figures.
- **Input Box:** \( \mathcal{E} = \) [Input field for student response] V

**Part B: Internal Resistance Calculation**
- **Question:** What is the internal resistance of the battery?
- **Instruction:** Express your answer in ohms \((\Omega)\) to two significant figures.
- **Input Box:** \( r = \) [Input field for student response] \(\Omega\)

This exercise invites students to analyze the graph to determine the battery’s emf and internal resistance by utilizing their understanding of Ohm's Law and circuit behavior.

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