COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
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Question
Chapter 22, Problem 57PE
To determine
The magnitude and direction of the force that each wire experiences in the given figure.
Expert Solution & Answer
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Consider a wire carrying a current due east in a location where the Earth’s field is due north.
A) What is the direction of the force on the wire if both are parallel to the ground?
B) Calculate the force per unit length on the wire, in newtons per meter, if the wire carries 19.5 A and the field strength is 2.85 × 10-5 T.
C) What would the diameter be, in meters, of copper wire (with density ρ = 8.80 × 103 kg/m3) that would have its weight supported by this force in meters?
D) Calculate the resistance per unit length, in ohms per meter, that this copper wire will have. Copper has a resistivity of ρR = 1.72 × 10-8 Ω⋅m.
E) Calculate the potential difference per unit length, in volts per meter, of this wire.
A conductor of length 2.5 m located at z-0, x-3 carries a current of 10A in (-ay)
direction. Find the uniform B in the region if the force on the conductor is
1.2 x 10-2ax+az
V2
Two straight, parallel, superconducting wires 4.5 mm apart carry equal currents of 15,000 A in opposite directions. What force, per unit length, does each wire exert on the other?
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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- Two parallel wires are separated by 1.16 mm. Wire A carries 2.59 A and Wire B carries 8.32 A (both currents in the same direction). Calculate the force on 6.19 m of Wire A.arrow_forwardA defibrillator passes 14 A of current through the torso of a person for 0.0055 s. Part (a) how much charge moves in C? Part (b) how many electrons pass through the wires connected to the patient?arrow_forward18.33 Two parallel wires spaced a distance d apart expe- rience an attractive force per unit length of 6.00 × 10-* N/m. If the currents have a magnitude of 10.0 A each, what is the distance d?arrow_forward
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- A straight conductor of length l moves with an acceleration a = 0.1 ms−2 at right angles to amagnetic field of uniform strength B = 10 T. The e.m.f. between the ends of the conductorincreased from 0 to 5 V during the first 20 s after the beginning of motion. Calculate l.arrow_forwardOne long straight wire is to be held directly above another (both parallel to the ground and to each other) by repulsion between their currents. The lower wire carries 140 A and the wire 7.00 cm above it is 15-gauge (1.450 mm diameter) copper wire. (The density of copper is 8.80 ✕ 103 kg/m3.) a) What current (in A) must flow in the upper wire, neglecting the Earth's field? What is the smallest current (in A) if the Earth's 3.00 ✕ 10−5 T field is parallel to the ground and is not neglected?arrow_forwardConsider the systempictured in Figure P19.31.A 15 - cm length of conductorof mass 15 g, free tomove vertically, is placedbetween two thin, verticalconductors, and a uniformmagnetic field acts perpendicularto the page. When a5.0 - A current is directed asshown in the figure, the horizontalwire moves upward atconstant velocity in the presenceof gravity. (a) What forces act on the horizontal wire, andunder what condition is the wire able to move upward at constantvelocity? (b) Find the magnitude and direction of theminimum magnetic field required to move the wire at constantspeed. (c) What happens if the magnetic field exceedsthis minimum value? (The wire slides without friction on thetwo vertical conductors.)arrow_forward
- How much current is flowing in a wire 4.50 m long if the maximum force on it is 0.725 N when placed in a uniform 0.0850-T field?Express your answer to three significant figures and include the appropriate units.arrow_forwardTwo straight conductors are placed close to each other. The conductors carry currents in the same direction. The nature of force between them is: depends on distance between them O Repulsive Attractive not knownarrow_forwardQ1) (a) State Biot-Savart's law (b) The y- and z-axes, respectively, carry filamentary currents 10 A along a and 20 A along -a. Find H at (-3,4, 5).arrow_forward
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