Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Textbook Question
Chapter 30, Problem 18PQ
A Two long, straight, parallel wires are shown in Figure P30.18. The current in the wire on the left is double the current in the wire on the right. Find an expression for the magnetic field at points A and B. Use the indicated coordinate system to write your answer in component form.
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batteries not shown
A.
A wire is connected to batteries (not shown), and current flows through the wire. The wire lies flat on a table, and you are looking down on it from above. The wire is laid on top of a compass, resting about
6 mm above the needle. The distance d is 5.5 cm. The compass needle deflects 11 degrees from North, as shown. At this location the horizontal component of the Earth's magnetic field is 2e-5 tesla.
What is the direction of the magnetic field at location A, midway between the wires, due to the current in the wire?
Out of the page
What is the approximate magnitude of the magnetic field at location A, due to the current in the wire?
|B|
= 3.88e-6 × T
What approximations or assumptions did you make in solving this problem?
Assume one side of the wire is much longer than d
Assume that at the location of the compass the effect of the distant wire is negligible
Assume the Earth's magnetic field is negligible
Assume the bent end of the wire is far from location A
The earth's magnetic field, with a magnetic dipole
moment of 8.0 x 1022 A m², is generated by
currents within the molten iron of the earth's outer
core. Suppose we model the core current as a
3000-km-diameter current loop made from a
1000-km-diameter "wire." The loop diameter is
measured from the centers of this very fat wire.
m
What is the current in the current loop?
Express your answer to two significant figures and include the appropriate units.
I =
Submit
Part B
Value
J =
ΜΑ
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What is the current density J in the current loop?
Express your answer to two significant figures and include the appropriate units.
μÅ
Value
Units
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Units
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n the Figure, a wire is bent into the shape of a straight wire and a circle, with a circular loop of radius R = 2.8 cm and two long straight sections. The loop center coincides with the origin of the coordinate system as shown. The straight sections are parallel to x-axis. The wire carries a I = 2.8 A current, as shown. Calculate the magnitude and the direction (into or out of the page) of the magnetic field at the origin. (Choose out of the page as the positive z-direction and express the magnetic field by using the sign of the result, which must be in multiples of 10 -5 Teslas and include 2 digit after the decimal point. That means if you get a result of a 9.22 x 10 -5 and the direction of the field is out of the page, just type 9.22 or if you find the direction of the field as into the page, just tpe -9.22 in the answer box. Maximum of 5% of error accepted in your answer. Take vacuum permeability µ 0 = 4π x 10 -7 T /A 2 and π=3.14.)
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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- One common type of cosmic ray is a proton traveling at close to the speed of light. If the proton is traveling downward, as shown in Figure P30.14, at a speed of 1.00 107 m/s, what are the magnitude and direction of the magnetic field at point B?arrow_forwardA Derive an expression for the magnetic field produced at point P due to the current-carrying wire shown in Figure P30.26. The curved parts of the wire are pieces of concentric circles. Point P is at their center.arrow_forward(a) A 200-turn circular loop of radius SO.0 cm is vertical, with its axis on an east-west line. A current of 100 A circulates clockwise in the loop when viewed from the east. Earth’s field here is due north, parallel to the ground, with a strength of 3.0105T. What are the direction and magnitude of the torque on the loop? (b) Does this device have any practical applications as a motor?arrow_forward
- (a) Use the result of the previous problem to calculate the magnetic field between, above, and below the pair of infinite sheets shown in the accompanying figure, (b) Repeat your calculations if the direction of the current in the lower sheet is reversed.arrow_forwardFigure P30.11 shows three configurations of wires and the resultant magnetic fields due to current in the wires. What is the direction of the current that gives the resultant magnetic field shown in each case?arrow_forwardFigure P31.13 shows a uniform magnetic field. a. Can you find a (nonzero area) loop through which the magnetic flux is zero? If so, draw the loop and the field. If not, explain why not. b. Can you find a loop through which the magnetic flux is nonzero? If so, draw the loop and the field. If not, explain why not.arrow_forward
- The velocity vector of a singly charged helium ion (mHe = 6.64 1027 kg) is given by v=4.50105m/s. The acceleration of the ion in a region of space with a uniform magnetic field is 8.50 1012 m/s2 in the positive y direction. The velocity is perpendicular to the field direction. What are the magnitude and direction of the magnetic field in this region?arrow_forward(a) A cosmic ray proton moving toward Earth at 5.00107 m/s experiences a magnetic force of 1.70l0l6 N. What is the strength of the magnetic field if there is a 45 angle between it and the proton’s velocity? (b) Is the value obtained in part a. consistent with the known strength of Earth's magnetic field on its surface? Discuss.arrow_forwardA uniform magnetic field of magnitude is directed parallel to the z-axis. A proton enters the field with a velocity v=(4j+3k)106m/s and travels in a helical path with a radius of 5.0 cm. (a) What is the value of B? (b) What is the time required for one trip around the helix? (c) Where is the proton 5.0107s after entering the field?arrow_forward
- A particle moving downward at a speed of 6.0106 m/s enters a uniform magnetic field that is horizontal and directed from east to west. (a) If the particle is deflected initially to the north in a circular arc, is its charge positive or negative? (b) If B = 0.25 T and the charge-to-mass ratio (q/m) of the particle is 40107 C/kg. what is ±e radius at the path? (c) What is the speed of the particle after c has moved in the field for 1.0105s ? for 2.0s?arrow_forward(a) Is it possible for the magnetic force on a charge moving in a magnetic field to be zero? (b) Is it possible for the electric force on a charge moving in an electric field to be zero? (c) Is it possible for the resultant of the electric and magnetic forces on a charge moving simultaneously through both fields to be zero?arrow_forwardA metal rod of mass M and length L is pivoted about a hinge at point O as shown in Figure P32.80. The axis of rotation passes through O into the page. A constant magnetic field B is applied into the page. Find the ratio of the maximum electric field inside the rod to the applied magnetic field when the rod is rotated with angular speed . Assume the speed of the rod is determined by the linear speed of its center of mass, and its mass is uniformly distributed. FIGURE P32.80arrow_forward
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