
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Question
Chapter 30, Problem 74PQ
(a)
To determine
The magnitude of maximum torque on the conductor.
(b)
To determine
The minimum and maximum values of the potential energy of the conductor–magnetic field system.
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Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Sketch the harmonic.
For number 11 please sketch the harmonic on graphing paper.
Chapter 30 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 30.2 - Prob. 30.1CECh. 30.3 - Prob. 30.2CECh. 30.4 - Prob. 30.3CECh. 30.8 - Cosmic rays are high-energy charged particles...Ch. 30.9 - The Earths Van Allen belts (Fig. 30.34) are a...Ch. 30.10 - Prob. 30.6CECh. 30.10 - Prob. 30.7CECh. 30.12 - Prob. 30.8CECh. 30 - A yoga teacher tells her students to imagine their...Ch. 30 - Prob. 2PQ
Ch. 30 - Prob. 3PQCh. 30 - Prob. 4PQCh. 30 - Prob. 5PQCh. 30 - Copy Figure P30.6 and sketch the magnetic field...Ch. 30 - Prob. 7PQCh. 30 - Prob. 9PQCh. 30 - Figure P30.10 shows a circular current-carrying...Ch. 30 - Figure P30.11 shows three configurations of wires...Ch. 30 - Review A proton is accelerated from rest through a...Ch. 30 - An electron moves in a circle of radius r at...Ch. 30 - One common type of cosmic ray is a proton...Ch. 30 - Prob. 15PQCh. 30 - Prob. 16PQCh. 30 - Prob. 17PQCh. 30 - A Two long, straight, parallel wires are shown in...Ch. 30 - Prob. 19PQCh. 30 - Two long, straight, parallel wires carry current...Ch. 30 - Prob. 21PQCh. 30 - Two long, straight wires carry the same current as...Ch. 30 - Prob. 23PQCh. 30 - A wire is bent in the form of a square loop with...Ch. 30 - Prob. 25PQCh. 30 - A Derive an expression for the magnetic field...Ch. 30 - Prob. 27PQCh. 30 - Prob. 28PQCh. 30 - Prob. 29PQCh. 30 - Prob. 30PQCh. 30 - Prob. 31PQCh. 30 - Prob. 32PQCh. 30 - Prob. 33PQCh. 30 - Prob. 34PQCh. 30 - Normally a refrigerator is not magnetized. If you...Ch. 30 - Prob. 36PQCh. 30 - Prob. 37PQCh. 30 - The magnetic field in a region is given by...Ch. 30 - Prob. 39PQCh. 30 - Prob. 40PQCh. 30 - Prob. 41PQCh. 30 - The velocity vector of a singly charged helium ion...Ch. 30 - Prob. 43PQCh. 30 - Can you use a mass spectrometer to measure the...Ch. 30 - In a laboratory experiment, a beam of electrons is...Ch. 30 - Prob. 46PQCh. 30 - Prob. 47PQCh. 30 - Prob. 48PQCh. 30 - A proton and a helium nucleus (consisting of two...Ch. 30 - Two ions are accelerated from rest in a mass...Ch. 30 - Prob. 51PQCh. 30 - Prob. 52PQCh. 30 - A rectangular silver strip is 2.50 cm wide and...Ch. 30 - For both sketches in Figure P30.56, there is a...Ch. 30 - A 1.40-m section of a straight wire oriented along...Ch. 30 - Professor Edward Ney was the founder of infrared...Ch. 30 - Prob. 59PQCh. 30 - A wire with a current of I = 8.00 A directed along...Ch. 30 - Prob. 61PQCh. 30 - The triangular loop of wire shown in Figure P30.62...Ch. 30 - Prob. 63PQCh. 30 - Consider the wires described in Problem 63. Find...Ch. 30 - Prob. 65PQCh. 30 - Prob. 66PQCh. 30 - A Three parallel current-carrying wires are shown...Ch. 30 - Prob. 68PQCh. 30 - Prob. 69PQCh. 30 - Prob. 70PQCh. 30 - Prob. 71PQCh. 30 - Prob. 72PQCh. 30 - A circular coil 15.0 cm in radius and composed of...Ch. 30 - Prob. 74PQCh. 30 - Prob. 75PQCh. 30 - Prob. 76PQCh. 30 - Prob. 77PQCh. 30 - Two long, straight, current-carrying wires run...Ch. 30 - Prob. 79PQCh. 30 - Prob. 80PQCh. 30 - Prob. 81PQCh. 30 - Prob. 82PQCh. 30 - Two infinitely long current-carrying wires run...Ch. 30 - Prob. 84PQCh. 30 - Prob. 85PQCh. 30 - Prob. 86PQCh. 30 - A charged particle with charge q and velocity...Ch. 30 - Prob. 88PQCh. 30 - Prob. 89PQCh. 30 - A mass spectrometer (Fig. 30.40, page 956)...Ch. 30 - Three long, current-carrying wires are parallel to...Ch. 30 - Prob. 92PQCh. 30 - A current-carrying conductor PQ of mass m and...Ch. 30 - A proton enters a region with a uniform electric...
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