College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Textbook Question
Chapter 22, Problem 45PE
Since the equation for torque on a current-carrying loop is
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Since the equation for torque on a current-carrying loop is τ=NIAB sin θ, the units of N.m must equal units of A.m2 T. Verify this.
(a) Obtain the expression for the magnetic energy stored in a solenoid in terms of magnetic field B, area A and length l of the solenoid. (b) How does this magnetic energy compare with the electrostatic energy stored in a capacitor?
An ideal solenoid has a core of relative
permeability 600 and its winding has 1500
turns per meter. If a steady current of 2A is
passed through its winding find (i) the
field
strength H (ii) the
magnetic
magnetization M, (iii) The magnetic induction
B within the solenoid. Assume that M, is
directly proportional to H and single valued.
Chapter 22 Solutions
College Physics
Ch. 22 - Volcanic and other such activity at the...Ch. 22 - Explain why the magnetic field would not be unique...Ch. 22 - List the ways in which magnetic field lines and...Ch. 22 - Noting that the magnetic field lines of a bar...Ch. 22 - Is the Earth's magnetic field parallel to the...Ch. 22 - If a charged particle moves in a straight line...Ch. 22 - How can the motion of a charged particle be used...Ch. 22 - High-velocity charged particles can damage...Ch. 22 - If a cosmic ray proton approaches the Earth from...Ch. 22 - Prob. 10CQ
Ch. 22 - Prob. 11CQCh. 22 - Prob. 12CQCh. 22 - While operating, a high-precision TV monitor is...Ch. 22 - Discuss how the Hall effect could be used to...Ch. 22 - Prob. 15CQCh. 22 - Prob. 16CQCh. 22 - Why would a magnetohydrodynamic drive work better...Ch. 22 - Which is more likely to interfere with compass...Ch. 22 - Prob. 19CQCh. 22 - Prob. 20CQCh. 22 - Is the force attractive or repulsive between the...Ch. 22 - Prob. 22CQCh. 22 - Suppose two long straight wires run perpendicular...Ch. 22 - Prob. 24CQCh. 22 - Prob. 25CQCh. 22 - Electric field lines can be shielded by me Faraday...Ch. 22 - Measurements at the weak and ?uctuating magnetic...Ch. 22 - Discuss the possibility that a Hall voltage would...Ch. 22 - A patient in an MRI unit turns his head quickly to...Ch. 22 - You are told that in a certain region there is...Ch. 22 - An example of magnetohydrodynamics (MHD) comes...Ch. 22 - Draw gravitational field lines between 2 masses,...Ch. 22 - Prob. 1PECh. 22 - Repeal Exercise 22.1 for a negative charge.Ch. 22 - Prob. 3PECh. 22 - Repeal Exercise 22.3 for a positive charge.Ch. 22 - Prob. 5PECh. 22 - Repeal Exercise 22.5 for a negative charge.Ch. 22 - What is the maximum force on an aluminum rod with...Ch. 22 - (a) Aircraft sometimes acquire small static...Ch. 22 - (a) A cosmic ray proton moving toward the Earth at...Ch. 22 - An electron moving at 4.00103m/s in a 1.25T...Ch. 22 - (a) A physicist performing a sensitive measurement...Ch. 22 - A cosmic ray electron moves at 7.50106m/s...Ch. 22 - A proton moves at 7.50107m/s perpendicular to a...Ch. 22 - (a) Viewers of Star Trek hear of an antimatter...Ch. 22 - (a) An oxygen16 ion with a mass at 2.661026kg...Ch. 22 - What radius circular path does an electron travel...Ch. 22 - A velocity selector in a mass spectrometer uses a...Ch. 22 - An electron in a TV CRT moves with a speed at...Ch. 22 - (a) At what speed will a proton move in a circular...Ch. 22 - A mass spectrometer is being used to separate...Ch. 22 - (a) Triply charged uranium-235 and uranium-238...Ch. 22 - A large water main is 2.50 m in diameter and the...Ch. 22 - What Hall voltage is produced by a 0.200T field...Ch. 22 - (a) What is the speed of a supersonic aircraft...Ch. 22 - A nonmechanical water meter could utilize the Hall...Ch. 22 - Calculate the Hall voltage induced on a patient’s...Ch. 22 - A Hall probe calibrated to read 1.00V when placed...Ch. 22 - Using information in Example 20.6, what would the...Ch. 22 - Show that the Hall voltage across wires made of...Ch. 22 - A patient with a pacemaker is mistakenly being...Ch. 22 - Prob. 31PECh. 22 - Prob. 32PECh. 22 - Prob. 33PECh. 22 - (a) What is the force per meter on a lightning...Ch. 22 - (a) A DC power line for a light-rail system...Ch. 22 - What force is exerted on the water in an MHD drive...Ch. 22 - A wire carrying a 30.0-A current passes between...Ch. 22 - (a) A 0.750-m-long section of cable carrying...Ch. 22 - (a) What is the angle between a wire carrying an...Ch. 22 - Prob. 40PECh. 22 - (a) By how many percent is the torque of a motor...Ch. 22 - (a) What is me maximum torque on a 150Turn square...Ch. 22 - Find the current through a loop needed to create a...Ch. 22 - Calculate the magnetic field strength needed on a...Ch. 22 - Since the equation for torque on a...Ch. 22 - (a) At what angle (is the torque on a current loop...Ch. 22 - A proton has a magnetic field due to its spin on...Ch. 22 - (a) A 200Turn circular loop of radius 50.0 cm is...Ch. 22 - Repeat Exercise 22.41, but with the loop lying...Ch. 22 - (a) The hot and neutral wires supplying DC power...Ch. 22 - The force per meter between the two wires of a...Ch. 22 - A 2.50m segment of wire supplying current to the...Ch. 22 - The wire carrying 400 A to The motor of a commuter...Ch. 22 - An AC appliance cord has its hot and neutral wires...Ch. 22 - Prob. 55PECh. 22 - Prob. 56PECh. 22 - Prob. 57PECh. 22 - Prob. 58PECh. 22 - Prob. 59PECh. 22 - Prob. 60PECh. 22 - To see why an MRI utilizes iron to increase the...Ch. 22 - Inside a motor, 30.0 A passes through a 250-turn...Ch. 22 - Nonnuclear submarines use batteries for power when...Ch. 22 - How strong is the magnetic field inside a solenoid...Ch. 22 - What current is needed in the solenoid described...Ch. 22 - How far from the starter cable of a car, carrying...Ch. 22 - Prob. 67PECh. 22 - Prob. 68PECh. 22 - Prob. 69PECh. 22 - Prob. 70PECh. 22 - Prob. 71PECh. 22 - Calculate the size of the magnetic field 20 m...Ch. 22 - Prob. 73PECh. 22 - Integrated Concepts (a) What voltage will...Ch. 22 - Integrated Concepts Find the radius of curvature...Ch. 22 - Integrated Concepts To construct a nonmechanical...Ch. 22 - Integrated Concepts (a) Using the values given for...Ch. 22 - Integrated Concepts (a) Calculate the maximum...Ch. 22 - Integrated Concepts A current balance used to...Ch. 22 - Prob. 80PECh. 22 - Prob. 81PECh. 22 - Integrated Concepts (a) A 0.140-kg baseball,...Ch. 22 - Integrated Concepts (a) What is the direction of...Ch. 22 - Integrated Concepts One long straight wire is to...Ch. 22 - Unreasonable Results (a) Find the charge on a...Ch. 22 - Unreasonable Results A charged particle having...Ch. 22 - Unreasonable Results An inventor wants to generate...Ch. 22 - Unreasonable Results Frustrated by the small Hall...Ch. 22 - Unreasonable Results A surveyor 100 m from a long...Ch. 22 - Construct Your Own Problem Consider a mass...Ch. 22 - Construct Your Own Problem Consider using the...Ch. 22 - Prob. 1TPCh. 22 - Prob. 2TPCh. 22 - Prob. 3TPCh. 22 - Prob. 4TPCh. 22 - Prob. 5TPCh. 22 - Prob. 6TPCh. 22 - Prob. 7TPCh. 22 - Prob. 8TPCh. 22 - Prob. 9TPCh. 22 - Prob. 10TPCh. 22 - Prob. 11TPCh. 22 - Prob. 12TPCh. 22 - Prob. 13TPCh. 22 - Prob. 14TPCh. 22 - Prob. 15TPCh. 22 - Prob. 16TP
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- By how much is the approximation B=0nI in error at the center of a solenoid that is 15.0 cm long, has a diameter of 4.0 cm, is wrapped with n turns per meter, and carries a current I?arrow_forwardHow is the percentage change in the strength of the magnetic field across the face of the toroid related to the percentage change in the radial distance from the axis of the toroid?arrow_forwardThe conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm apart. The system is in a uniform magnetic field of strength 0.75 T, which is directed into the page. The resistances of the rod and the rails are negligible, but the section PQ has a resistance of 0.25 . (a) What is the emf (including its sense) induced in the rod when it is moving to tire right with a speed of 5.0 m/s? (b) What force is required to keep the rod moving at this speed? (c) What is the rate at which work is done by this force? (d) What is the power dissipated in the resistor?arrow_forward
- A solenoid with 4 x 107turns/m has an iron core placed in it whose magnetic susceptibility is 4.0 x 103. (a) If a cent of 2.0 A flows through the solenoid, what is the magnetic field in the iron core? (b) What is the effective surface current formed by the aligned atomic current loops in the iron core? (c) What is the self-inductance of the filled solenoid?arrow_forwardA solenoid with an iron core is 25 cm long and is wrapped with 100 turns of wire. When the current through the solenoid is 10 A, the magnetic field inside it is 2.0 T. For this current, what is the permeability of the iron? If the current is turned off and then restored to 10 A, will the magnetic field necessarily return to 2.0 T?arrow_forwardSince the equation for torque on a current-carrying loop is =NIABsin, the units of N .m must equal units of A. m2T. Verify this.arrow_forward
- The magnetic field in the core of an air-filled solenoid is 1.50 T, By how much will this magnetic field decrease if the ail is pumped out of the core while the current is held constant?arrow_forwardHow does the self- inductance per unit length near the center of a solenoid (away from the ends) compare with its value near the end of the solenoid?arrow_forward, (a) At what angle 0 is tlie torque on a current loop 90.0% of maximum? (b) 50.0% of maximum? (c) 10.0% of maximum?arrow_forward
- Check your Understanding Themagneticfield shown below Is confined to the cylindrical region shown and is changing withtime. Identity those paths for which =EdI0 .arrow_forward12.7 Check Your Understanding What is the ratio of the magnetic field produced from using a finite formula over the infinite approximation for an angle of (a) 85°? (b) 89°? The solenoid has 1000 mins in 50 cm with a current of 1.0 A flowing through the coilsarrow_forwardA wire ismade into a circular shape of radius R and pivoted along a central support.The two ends of the sire are touching a banish that is connected to a &power source. The stricture is between the poles of a magnet such that we can assume there is a uniform magnetic field on the wire. In terms of a coordinate system with origin at the center ofthe ring, magneticfieldisBx=B0,By=Bz= 0. and the ring rotates about the z-axis. Find the torque on the ring siren it is not in the xz-plane.arrow_forward
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