Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 21, Problem 15Q
To determine

To Explain: A bar magnet achieved terminal velocity while falling inside metal tube even though it has been evacuated.

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Explanation of Solution

Introduction:According to Faraday's Law, when the magnet moves through a conducting metal tube (or non-magnetic), it will induce an EMF in tube. Also, it creates an opposite-acting magnetic force which is recognised in Lenz's law.

By taking Faraday’s law, EMF=NΔϕBΔt . In this equation the minus sign represents direction the induced EMF acts.

The change in flux ϕ is entirely due to the change in positionof the magnet with time, as the strength of the magnet, and the geometry of the magnet and metal tube, are fixed. So,

  EMF=αdxdt=αv

It seems practical to argue that back magnetic force is function ofposition v .

From the Newton's Law: ma=mgαv , which is separable differential equation in form: dvdt=gαmv

With v(0)=0 , this has solutions:

  v(t)=mgα(1eαmt) and limtv(t)=mgα

Chapter 21 Solutions

Physics: Principles with Applications

Ch. 21 - Prob. 11QCh. 21 - Prob. 12QCh. 21 - Prob. 13QCh. 21 - Prob. 14QCh. 21 - Prob. 15QCh. 21 - Prob. 16QCh. 21 - Prob. 17QCh. 21 - Prob. 18QCh. 21 - Prob. 19QCh. 21 - Prob. 20QCh. 21 - Prob. 21QCh. 21 - Prob. 22QCh. 21 - Prob. 23QCh. 21 - Prob. 24QCh. 21 - Prob. 1PCh. 21 - Prob. 2PCh. 21 - The rectangular loop in Fig. 21-5813 is being...Ch. 21 - If the solenoid in Fig. 21-59 |D is being pulled...Ch. 21 - An 18.5-cm-diameter loop of wire is initially...Ch. 21 - A fixed 10.8-cm-diameter wire coil is...Ch. 21 - A 16-cm-diameter circular loop of wire is placed...Ch. 21 - Prob. 8PCh. 21 - Prob. 9PCh. 21 - A circular loop in the plane of the paper lies in...Ch. 21 - Prob. 11PCh. 21 - Prob. 12PCh. 21 - Prob. 13PCh. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - Prob. 16PCh. 21 - Prob. 17PCh. 21 - Prob. 18PCh. 21 - Prob. 19PCh. 21 - Prob. 20PCh. 21 - Prob. 21PCh. 21 - A simple generator has a square armature 6.0 cm on...Ch. 21 - Prob. 23PCh. 21 - Prob. 24PCh. 21 - Prob. 25PCh. 21 - Prob. 26PCh. 21 - Prob. 27PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30PCh. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - Prob. 34PCh. 21 - Prob. 35PCh. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 38PCh. 21 - Prob. 39PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - Prob. 42PCh. 21 - Prob. 43PCh. 21 - Prob. 44PCh. 21 - Prob. 45PCh. 21 - Prob. 46PCh. 21 - Prob. 47PCh. 21 - Prob. 48PCh. 21 - Prob. 49PCh. 21 - Prob. 50PCh. 21 - Prob. 51PCh. 21 - Prob. 52PCh. 21 - Prob. 53PCh. 21 - Prob. 54PCh. 21 - Prob. 55PCh. 21 - Prob. 56PCh. 21 - (a) What is the reactance of a well-insulated...Ch. 21 - Prob. 58PCh. 21 - Prob. 59PCh. 21 - Prob. 60PCh. 21 - Prob. 61PCh. 21 - Determine the total impedance, phase angle, and...Ch. 21 - Prob. 63PCh. 21 - Prob. 64PCh. 21 - Prob. 65PCh. 21 - Prob. 66PCh. 21 - Prob. 67PCh. 21 - The variable capacitor in the tuner of an AM radio...Ch. 21 - Prob. 69PCh. 21 - A resonant circuit using a 260-nF capacitor is to...Ch. 21 - Prob. 71PCh. 21 - Prob. 72GPCh. 21 - Prob. 73GPCh. 21 - Prob. 74GPCh. 21 - Prob. 75GPCh. 21 - Prob. 76GPCh. 21 - Power is generated at 24 kV at a generating plant...Ch. 21 - Prob. 78GPCh. 21 - Prob. 79GPCh. 21 - Prob. 80GPCh. 21 - Prob. 81GPCh. 21 - Prob. 82GPCh. 21 - Prob. 83GPCh. 21 - Prob. 84GPCh. 21 - Prob. 85GPCh. 21 - Prob. 86GPCh. 21 - Prob. 87GPCh. 21 - Prob. 88GPCh. 21 - Prob. 89GP
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What is Electromagnetic Induction? | Faraday's Laws and Lenz Law | iKen | iKen Edu | iKen App; Author: Iken Edu;https://www.youtube.com/watch?v=3HyORmBip-w;License: Standard YouTube License, CC-BY