College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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a) determine the potential difference across each resistor in terms of E b) determine the current in each resistor in terms of I c) in the limit r3->infinity, what are the new values of the current in each resistor in terms of I, the original current in the battery?
### Resistor Network Connected to a Battery

In the given circuit, several resistors are connected to a battery. The diagram illustrates the arrangement and values of these resistors:

- **Resistor \( R_1 \)** is in series with the battery, and its resistance is \( R \).
- The battery provides an electromotive force (EMF) denoted by \( \varepsilon \) and a current \( I \) flows through the circuit.
- In parallel to \( R_1 \), there is a branch consisting of three resistors:
  - **Resistor \( R_2 \)** with a resistance of \( 2R \)
  - **Resistor \( R_3 \)** with a resistance of \( 4R \)
  - **Resistor \( R_4 \)** with a resistance of \( 3R \)

**Problem Statement:**

(a) Determine the potential difference across each resistor. 

This circuit provides a practical application for analyzing series and parallel resistor combinations, calculating equivalent resistance, and understanding the distribution of current and voltage in an electrical network.
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Transcribed Image Text:### Resistor Network Connected to a Battery In the given circuit, several resistors are connected to a battery. The diagram illustrates the arrangement and values of these resistors: - **Resistor \( R_1 \)** is in series with the battery, and its resistance is \( R \). - The battery provides an electromotive force (EMF) denoted by \( \varepsilon \) and a current \( I \) flows through the circuit. - In parallel to \( R_1 \), there is a branch consisting of three resistors: - **Resistor \( R_2 \)** with a resistance of \( 2R \) - **Resistor \( R_3 \)** with a resistance of \( 4R \) - **Resistor \( R_4 \)** with a resistance of \( 3R \) **Problem Statement:** (a) Determine the potential difference across each resistor. This circuit provides a practical application for analyzing series and parallel resistor combinations, calculating equivalent resistance, and understanding the distribution of current and voltage in an electrical network.
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