College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Transcribed Image Text:### Analyzing the Circuit
Consider the circuit shown below. If the current going through resistor \( R_1 \) is 1.00 A, determine:
(a) The voltage \( V \) of the battery, assuming the internal resistance of the battery is negligible.
(b) The current going through resistor \( R_4 \).
### Diagram Explanation
The circuit consists of the following components:
- A battery with unknown voltage \( V \).
- Five resistors are present in the circuit:
- \( R_1 = 7.00 \, \Omega \) with a current \( I_1 = 1.00 \, \text{A} \) flowing through it.
- \( R_2 = 8.00 \, \Omega \)
- \( R_3 = 9.00 \, \Omega \)
- \( R_4 = 10.0 \, \Omega \)
- \( R_5 = 15.0 \, \Omega \)
### Circuit Configuration
- \( R_1 \), \( R_2 \), and \( R_5 \) are arranged in series.
- \( R_3 \) is in parallel with the branch containing \( R_4 \).
### Key Objectives
1. **Calculate the Battery Voltage \( V \):**
Use Ohm’s Law (\( V = IR \)) to find the potential difference across resistors in series.
2. **Determine the Current Through \( R_4 \):**
Analyze the parallel combination and apply Ohm's law to find the distribution of current.
This setup provides the groundwork for discussing series and parallel circuit behavior and calculations.
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