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The rectangular loop shown in Figure (Q2) is coplanar with a long, straight wire carrying a current (I). The loop has two sides of length (L) parallel to the wire, one at distance (a) and the other at a distance (b) from the wire. Find the magnetic flux through the loop. I L

The rectangular loop shown in Figure (Q2) is coplanar with a long, straight wire carrying a current (I). The loop has two sides of length (L) parallel to the wire, one at distance (a) and the other at a distance (b) from the wire. Find the magnetic flux through the loop. I L

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**Title: Understanding Magnetic Flux through a Rectangular Loop** **Introduction:** The scenario involves a rectangular loop (Figure Q2) positioned in the same plane as a long, straight wire carrying a current (I). The loop comprises two sides of length (L) parallel to the wire. One side is at a distance (a) and the other side at a distance (b) from the wire. The objective is to determine the magnetic flux passing through the loop. **Diagram Explanation:** - The diagram shows a straight vertical wire on the left, with current (I) flowing upward. - A rectangle is drawn to the right of the wire, representing the loop. - The left side of the rectangle is at a distance (a) from the wire, while the right side is at a distance (b). - The length of the parallel sides of the loop is denoted by (L). **Objective:** Calculate the magnetic flux through the loop considering the distances (a) and (b) from the wire. This problem involves applying concepts of magnetic fields around current-carrying wires and integrating these to find the total flux across the loop. **Conclusion:** The challenge is to understand how magnetic fields interact with loops and how distances affect the net magnetic flux. This setup is a classic example encountered in electromagnetic theory, explaining the principles governing electromagnetism and magnetic interactions.
Transcribed Image Text:**Title: Understanding Magnetic Flux through a Rectangular Loop** **Introduction:** The scenario involves a rectangular loop (Figure Q2) positioned in the same plane as a long, straight wire carrying a current (I). The loop comprises two sides of length (L) parallel to the wire. One side is at a distance (a) and the other side at a distance (b) from the wire. The objective is to determine the magnetic flux passing through the loop. **Diagram Explanation:** - The diagram shows a straight vertical wire on the left, with current (I) flowing upward. - A rectangle is drawn to the right of the wire, representing the loop. - The left side of the rectangle is at a distance (a) from the wire, while the right side is at a distance (b). - The length of the parallel sides of the loop is denoted by (L). **Objective:** Calculate the magnetic flux through the loop considering the distances (a) and (b) from the wire. This problem involves applying concepts of magnetic fields around current-carrying wires and integrating these to find the total flux across the loop. **Conclusion:** The challenge is to understand how magnetic fields interact with loops and how distances affect the net magnetic flux. This setup is a classic example encountered in electromagnetic theory, explaining the principles governing electromagnetism and magnetic interactions.
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