### Explanation of Magnetic Interaction in a Copper Tube#### Scenario:A very strong bar magnet is falling inside a 1m long copper tube. It reaches a terminal velocity of 0.1 m/s, taking 10 seconds to fall through the tube. The magnet falls much more slowly through the tube than in open air. This phenomenon can be explained by one of the following reasons:#### Possible Explanations:1. **Microscopic Magnetic Forces:** - "The microscopic magnetic domains of the copper line up as the magnet passes, attracting the magnet and braking its fall."2. **Induced Currents in the Tube:** - "The magnet induces circular currents in the tube, whose magnetic fields brake the fall of the magnet."3. **Increased Air Resistance:** - "The air resistance in the tube is higher because of the strong magnetic field."4. **Weak Magnetism of Copper:** - "The magnet causes the copper to become weakly magnetic and therefore attracts the magnet."#### Determining the Answer:The correct explanation for the slower fall of the magnet inside the copper tube is due to the **Induced Currents in the Tube**. When the magnet moves through the copper tube, it induces circular (or eddy) currents in the walls of the tube. These currents create their own magnetic field, which opposes the motion of the magnet due to Lenz's Law. This opposing magnetic field acts to brake the movement of the magnet, thereby causing it to fall more slowly through the tube.#### Concept:Eddy currents are loops of electrical current induced within conductors by a changing magnetic field in the conductor. This phenomenon can be explained by Faraday's Law of Induction, which states that a changing magnetic field will induce an electric current in a conductor placed within it. The induced currents create magnetic fields that oppose the change in the original magnetic field, leading to a drag force on the falling magnet.#### Diagram:(While the image does not contain a diagram, an educational website would benefit from a diagram showing the following aspects:- The falling magnet inside the copper tube- The direction of the magnet's fall- The induced circular currents in the copper tube- The opposing magnetic fields created by these currents - The braking effect on the magnet’s fall)This explanation helps in understanding the practical implications of electromagnetic induction and its effects on moving magnets through conductive materials.

As magnets falls towards the copper tube and passes through it the magnetic flux through the tube…

A very strong bar magnet is falling inside a 1m long copper tube. It reaches a terminal velocity of 0.1m/s, taking 10s to fall through the tube. The magnet falls much more slowly through the tube than in open air. This happens because: The microscopic magnetic domains of the copper line up as the magnet passes, attracting the magnet and braking its fll. The magnet induces circular currents in the tube, whose magnetic fields brake the fll of the magnet. The air resistance in the tube is higher because of the strong magnetic field. The magnet causes the copper to become weakly magnetic and therefore attracts the

A very strong bar magnet is falling inside a 1m long copper tube. It reaches a terminal velocity of 0.1m/s, taking 10s to fall through the tube. The magnet falls much more slowly through the tube than in open air. This happens because: The microscopic magnetic domains of the copper line up as the magnet passes, attracting the magnet and braking its fll. The magnet induces circular currents in the tube, whose magnetic fields brake the fll of the magnet. The air resistance in the tube is higher because of the strong magnetic field. The magnet causes the copper to become weakly magnetic and therefore attracts the

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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