Physics for Scientists and Engineers, Volume 1, Chapters 1-22
8th Edition
ISBN: 9781439048382
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 30, Problem 30.64AP
(a)
To determine
The magnitude of the net magnetic field at the center of the two loops.
(b)
To determine
The direction of the net magnetic field at the center of the two loops.
(c)
To determine
The value of
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Figure P30.19
20. Two long, parallel wires carry currents of I₁ 3.00 A
and I₂
= 5.00 A in the directions indicated in Figure
P30.20. (a) Find the magnitude and direction of the
magnetic field at a point midway between the wires.
(b) Find the magnitude and direction of the magnetic
field at point P, located d = 20.0 cm above the wire car-
rying the 5.00-A current.
I₁
d
d
Figure P30.20
12
=
Your answer is partially correct.
One long wire lies along an x axis and carries a current of 57 A in the positive x direction. A second long wire is perpendicular to the xy
plane, passes through the point (0, 7.2 m, 0), and carries a current of 45 A in the positive z direction. What is the magnitude of the
resulting magnetic field at the point (0, 2.0 m, 0)?
Number
i 0.000005956
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PT
A long, straight, wire carries a current I=4.2 A out of the page. What is the magnitude and direction of the magnetic field at point P at distance r=2 m to the right of the wire?
Chapter 30 Solutions
Physics for Scientists and Engineers, Volume 1, Chapters 1-22
Ch. 30 - Consider the magnetic field due to the current in...Ch. 30 - A loose spiral spring carrying no current is hung...Ch. 30 - Prob. 30.3QQCh. 30 - Prob. 30.4QQCh. 30 - Consider a solenoid that is very long compared...Ch. 30 - Prob. 30.1OQCh. 30 - In Figure 30.7, assume I1 = 2.00 A ami I2 = 6.00...Ch. 30 - Answer each question yes or no. (a) Is it possible...Ch. 30 - Two long, parallel wires each carry the same...Ch. 30 - Two long, straight wires cross each other at a...
Ch. 30 - A long, vertical, metallic wire carries downward...Ch. 30 - Suppose you are facing a tall makeup mirror on a...Ch. 30 - A long, straight wire carries a current I (Fig....Ch. 30 - Prob. 30.9OQCh. 30 - Consider the two parallel wires carrying currents...Ch. 30 - What creates a magnetic Hold? More than one answer...Ch. 30 - A long solenoid with closely spaced turns carries...Ch. 30 - A uniform magnetic field is directed along the x...Ch. 30 - Rank the magnitudes of the following magnetic...Ch. 30 - Solenoid A has length L and N turns, solenoid B...Ch. 30 - Is the magnetic field created by a current loop...Ch. 30 - One pole of a magnet attracts a nail. Will the...Ch. 30 - Prob. 30.3CQCh. 30 - A hollow copper tube carries a current along its...Ch. 30 - Imagine you have a compass whose needle can rotate...Ch. 30 - Prob. 30.6CQCh. 30 - A magnet attracts a piece of iron. The iron can...Ch. 30 - Why does hitting a magnet with a hammer cause the...Ch. 30 - The quantity B ds in Amperes law is called...Ch. 30 - Figure CQ30.10 shows four permanent magnets, each...Ch. 30 - Explain why two parallel wires carrying currents...Ch. 30 - Consider a magnetic field that is uniform in...Ch. 30 - Review. In studies of the possibility of migrating...Ch. 30 - In each of parts (a) through (c) of Figure P30.2....Ch. 30 - Calculate the magnitude of the magnetic field at a...Ch. 30 - Calculate the magnitude of the magnetic field at a...Ch. 30 - Prob. 30.5PCh. 30 - In Niels Bohrs 1913 model of the hydrogen atom, an...Ch. 30 - Prob. 30.7PCh. 30 - A conductor consists of a circular loop of radius...Ch. 30 - Two long, straight, parallel wires carry currents...Ch. 30 - Prob. 30.10PCh. 30 - Prob. 30.11PCh. 30 - Consider a flat, circular current loop of radius R...Ch. 30 - A current path shaped as shown in Figure P30.13...Ch. 30 - One long wire carries current 30.0 A to the left...Ch. 30 - Prob. 30.15PCh. 30 - In a long, .straight, vertical lightning stroke,...Ch. 30 - Determine the magnetic field (in terms of I, a,...Ch. 30 - Prob. 30.18PCh. 30 - Determine the magnetic field (in terms of I, a,...Ch. 30 - Two long, parallel wires carry currents of I1 =...Ch. 30 - Two long, parallel conductors, separated by 10.0...Ch. 30 - Prob. 30.22PCh. 30 - Prob. 30.23PCh. 30 - Prob. 30.24PCh. 30 - Prob. 30.25PCh. 30 - In Figure P30.25, the current in the long,...Ch. 30 - Two long, parallel wires are attracted to each...Ch. 30 - Why is the following situation impossible? Two...Ch. 30 - Prob. 30.29PCh. 30 - Niobium metal becomes a superconductor when cooled...Ch. 30 - Figure P30.31 Is a cross-sectional view of a...Ch. 30 - The magnetic coils of a tokamak fusion reactor are...Ch. 30 - A long, straight wire lies on a horizontal table...Ch. 30 - An infinite sheet of current lying in the yz plane...Ch. 30 - The magnetic field 40.0 cm away from a long,...Ch. 30 - A packed bundle of 100 long, straight, insulated...Ch. 30 - Prob. 30.37PCh. 30 - Prob. 30.38PCh. 30 - Prob. 30.39PCh. 30 - A certain superconducting magnet in the form of a...Ch. 30 - A long solenoid that has 1 000 turns uniformly...Ch. 30 - You are given a certain volume of copper from...Ch. 30 - A single-turn square loop of wire, 2.00 cm on each...Ch. 30 - A solenoid 10.0 cm in diameter and 75.0 cm long is...Ch. 30 - It is desired to construct a solenoid that will...Ch. 30 - Prob. 30.46PCh. 30 - A cube of edge length l=2.50 cm is positioned as...Ch. 30 - A solenoid of radius r = 1.25 cm and length =...Ch. 30 - The magnetic moment of the Earth is approximately...Ch. 30 - At saturation, when nearly all the atoms have...Ch. 30 - A 30.0-turn solenoid of length 6.00 cm produces a...Ch. 30 - Prob. 30.52APCh. 30 - Suppose you install a compass on the center of a...Ch. 30 - Why is the following situation impossible? The...Ch. 30 - A nonconducting ring of radius 10.0 cm is...Ch. 30 - Prob. 30.56APCh. 30 - Prob. 30.57APCh. 30 - A circular coil of five turns and a diameter of...Ch. 30 - A very large parallel-plate capacitor has uniform...Ch. 30 - Two circular coils of radius R, each with N turns,...Ch. 30 - Prob. 30.61APCh. 30 - Two circular loops are parallel, coaxial, and...Ch. 30 - Prob. 30.63APCh. 30 - Prob. 30.64APCh. 30 - As seen in previous chapters, any object with...Ch. 30 - Review. Rail guns have been suggested for...Ch. 30 - Prob. 30.67APCh. 30 - An infinitely long, straight wire carrying a...Ch. 30 - Prob. 30.69CPCh. 30 - We have seen that a long solenoid produces a...Ch. 30 - Prob. 30.71CPCh. 30 - Prob. 30.72CPCh. 30 - A wire carrying a current I is bent into the shape...Ch. 30 - Prob. 30.74CPCh. 30 - Prob. 30.75CPCh. 30 - Prob. 30.76CPCh. 30 - The magnitude of the force on a magnetic dipole ...
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- Two infinitely long current-carrying wires run parallel in the xy plane and are each a distance d = 11.0 cm from the y axis (Fig. P30.83). The current in both wires is I = 5.00 A in the negative y direction. a. Draw a sketch of the magnetic field pattern in the xz plane due to the two wires. What is the magnitude of the magnetic field due to the two wires b. at the origin and c. as a function of z along the z axis, at x = y = 0? FIGURE P30.83arrow_forwardA circular coil 15.0 cm in radius and composed of 145 tightly wound turns carries a current of 2.50 A in the counterclockwise direction, where the plane of the coil makes an angle of 15.0 with the y axis (Fig. P30.73). The coil is free to rotate about the z axis and is placed in a region with a uniform magnetic field given by B=1.35jT. a. What is the magnitude of the magnetic torque on the coil? b. In what direction will the coil rotate? FIGURE P30.73arrow_forwardIn Figure P22.43, the current in the long, straight wire is I1 = 5.00 A and the wire lies in the plane of the rectangular loop, which carries a current I2 = 10.0 A. The dimensions in the figure are c = 0.100 m, a = 0.150 m, and = 0.450 m. Find the magnitude and direction of the net force exerted on the loop by the magnetic field created by the wire. Figure P22.43 Problems 43 and 44.arrow_forward
- An infinitely long wire carrying a current I is bent at a right angle as shown in Figure P22.30. Determine the magnetic field at point P, located a distance x from the corner of the wire. Figure P22.30arrow_forwardThe 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_forwardA wire is bent in the form of a square loop with sides of length L (Fig. P30.24). If a steady current I flows in the loop, determine the magnitude of the magnetic field at point P in the center of the square. FIGURE P30.24arrow_forward
- What is the Earths magnetic flux through a. a basketball, b. a hula hoop standing up perpendicularly on its rim at the North Pole, and c. a hula hoop lying on the ground at the North Pole?arrow_forwardTwo long, straight wires are parallel and 25 cm apart. (a) If each wire carries a current of 50 A in the same direction, what is the magnetic force per meter exerted on each wire? (b) Does tire force pull the wires together or push them apart? (c) What happens if the currents flow in opposite directions?arrow_forwardA long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed uniformly over its cross-section. Plot the magnetic field as a function of the radial distance r from the center of the conductor.arrow_forward
- One long wire carries current 30.0 A to the left along the x axis. A second long wire carries current 50.0 A to the right along the line (y = 0.280 m, z = 0). (a) Where in the plane of the two wires is the total magnetic field equal to zero? (b) A particle with a charge of 2.00 C is moving with a velocity of 150iMm/s along the line (y = 0.100 m, z = 0). Calculate the vector magnetic force acting on the particle. (c) What If? A uniform electric field is applied to allow this particle to pass through this region undetected. Calculate the required vector electric field.arrow_forwardA toroid has a major radius R and a minor radius r and is tightly wound with N turns of wire on a hollow cardboard torus. Figure P31.6 shows half of this toroid, allowing us to see its cross section. If R r, the magnetic field in the region enclosed by the wire is essentially the same as the magnetic field of a solenoid that has been bent into a large circle of radius R. Modeling the field as the uniform field of a long solenoid, show that the inductance of such a toroid is approximately L=120N2r2R Figure P31.6arrow_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
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