College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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**Electromagnetism: Calculating Magnetic Field Near Parallel Wires**

**Problem 93:**

A circuit with current \( I \) has two long parallel wire sections that carry current in opposite directions. Find the magnetic field at a point \( P \) near these wires that is a distance \( a \) from one wire and \( b \) from the other wire, as shown in the figure below. Assume \( I = 2 \, \text{A} \), \( a = 5 \, \text{cm} \), \( b = 3 \, \text{cm} \).

**Diagram Explanation:**

The diagram shows two wires with currents flowing in opposite directions. The point \( P \) is indicated by a dot and is located at the end of a right triangle:

- The horizontal leg is labeled as \( a \), representing the distance from the first wire to point \( P \).
- The vertical leg is labeled as \( b \), representing the distance from the second wire to point \( P \).

The distance measurements \( a \) and \( b \) are part of a right triangle configuration used to determine the position of point \( P \) relative to the wires.

This setup is used to calculate the resultant magnetic field at point \( P \) by considering the contributions from each wire.
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Transcribed Image Text:**Electromagnetism: Calculating Magnetic Field Near Parallel Wires** **Problem 93:** A circuit with current \( I \) has two long parallel wire sections that carry current in opposite directions. Find the magnetic field at a point \( P \) near these wires that is a distance \( a \) from one wire and \( b \) from the other wire, as shown in the figure below. Assume \( I = 2 \, \text{A} \), \( a = 5 \, \text{cm} \), \( b = 3 \, \text{cm} \). **Diagram Explanation:** The diagram shows two wires with currents flowing in opposite directions. The point \( P \) is indicated by a dot and is located at the end of a right triangle: - The horizontal leg is labeled as \( a \), representing the distance from the first wire to point \( P \). - The vertical leg is labeled as \( b \), representing the distance from the second wire to point \( P \). The distance measurements \( a \) and \( b \) are part of a right triangle configuration used to determine the position of point \( P \) relative to the wires. This setup is used to calculate the resultant magnetic field at point \( P \) by considering the contributions from each wire.
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