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Two loops are side-by-side in the x-y plane. The right-hand loop has an initial current flowing clockwise. If the current decreases, what will happen in the left-hand loop? Show your work.

Two loops are side-by-side in the x-y plane. The right-hand loop has an initial current flowing clockwise. If the current decreases, what will happen in the left-hand loop? Show your work.

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Problem Statement:** Two loops are side-by-side in the x-y plane. The right-hand loop has an initial current flowing clockwise. If the current decreases, what will happen in the left-hand loop? Show your work. --- **Explanation:** This problem involves electromagnetic induction and the concept of induced currents. When the current in the right-hand loop decreases, the magnetic field created by this loop also decreases. According to Lenz's Law, the left-hand loop will respond to this change by inducing a current that opposes the decrease in magnetic flux. **Detailed Steps:** - **Initial Situation:** The right-hand loop has a clockwise current creating a magnetic field. This magnetic field extends through space, interacting with the nearby left-hand loop. - **Change in Current:** As the current in the right-hand loop decreases, the magnetic flux through the left-hand loop decreases. - **Induced Current:** According to Lenz's Law, the left-hand loop will induce a current that opposes the change in flux. To oppose a decrease, the induced current must attempt to maintain the original magnetic field direction created by the right-hand loop's current. - **Direction of Induced Current:** Therefore, the induced current in the left-hand loop will be counter-clockwise to try and increase the magnetic field back to its original strength. --- This explanation should guide students through applying electromagnetic induction principles, particularly focusing on Lenz's Law.
Transcribed Image Text:**Problem Statement:** Two loops are side-by-side in the x-y plane. The right-hand loop has an initial current flowing clockwise. If the current decreases, what will happen in the left-hand loop? Show your work. --- **Explanation:** This problem involves electromagnetic induction and the concept of induced currents. When the current in the right-hand loop decreases, the magnetic field created by this loop also decreases. According to Lenz's Law, the left-hand loop will respond to this change by inducing a current that opposes the decrease in magnetic flux. **Detailed Steps:** - **Initial Situation:** The right-hand loop has a clockwise current creating a magnetic field. This magnetic field extends through space, interacting with the nearby left-hand loop. - **Change in Current:** As the current in the right-hand loop decreases, the magnetic flux through the left-hand loop decreases. - **Induced Current:** According to Lenz's Law, the left-hand loop will induce a current that opposes the change in flux. To oppose a decrease, the induced current must attempt to maintain the original magnetic field direction created by the right-hand loop's current. - **Direction of Induced Current:** Therefore, the induced current in the left-hand loop will be counter-clockwise to try and increase the magnetic field back to its original strength. --- This explanation should guide students through applying electromagnetic induction principles, particularly focusing on Lenz's Law.
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