Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Textbook Question
Chapter 26, Problem 76P
A long, hollow
FIGURE 26.49 Problem 76
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The accompanying figure shows a cross-section of a long,
hollow, cylindrical conductor of inner radius r₁ = 3.5 cm
and outer radius 72 = 5 cm. A 41-A current distributed
uniformly over the cross-section flows into the page.
Calculate the magnetic field at r = 1.5 cm, r = 4 cm,
and r 8.5 cm.
Hints
r₁
12
a. Magnetic field at r= 1,5 cm is
(a).
b. Magnetic field at r = 4 cm is
(C).
(b).
c. Magnetic field at r = 8.5 cm is
T. Additional hint for
T. Additional hint for
T. Additional hint for
Use the "E" notation to enter your answer in scientific
notation. For example, to enter 3.14 × 10-¹2, enter "3.14E-
12".
28.39 Coaxial Cable. A solid Figure E28.39
conductor with radius a is supported
by insulating disks on the axis of a
conducting tube with inner radius b
and outer radius c (Fig. E28.39).
The central conductor and tube carry
equal currents I in opposite direc-
tions. The currents are distributed
uniformly over the cross sections of
each conductor. Derive an expression
for the magnitude of the magnetic
field (a) at points outside the central, solid conductor but inside the tube
(a c).
28.43 A solenoid is designed to produce a magnetic field of 0.0270 T
at its center. It has radius 1.40 cm and length 40.0 cm, and the wire can
carry a maximum current of 12.0 A. (a) What minimum number of turns
per unit length must the solenoid have? (b) What total length of wire is
required?
Problem 5. Consider an infinite metal sheet that carries a uniform current per unit width (where the
width is defined perpendicular to the direction of the current) of 0.052 A/m. Use Ampere's law to find the
magnitude of the magnetic field on each side of the plate.
Chapter 26 Solutions
Essential University Physics
Ch. 26.2 - The figure shows a proton in a magnetic field. (1)...Ch. 26.3 - A proton of the same energy as the electron in...Ch. 26.4 - Prob. 26.4GICh. 26.5 - Prob. 26.5GICh. 26.6 - Prob. 26.6GICh. 26.7 - Which of the following best describes the...Ch. 26.8 - The figure shows three parallel wires carrying...Ch. 26 - An electron moving with velocity v through a...Ch. 26 - A magnetic field points out of this page. Will a...Ch. 26 - Do particles in a cyclotron gain energy from the...
Ch. 26 - Two identical particles carrying equal charge are...Ch. 26 - Prob. 5FTDCh. 26 - Do currents in the same direction attract or...Ch. 26 - If a current is passed through an unstretched...Ch. 26 - Figure 26.38 shows some magnetic field lines...Ch. 26 - Prob. 9FTDCh. 26 - Prob. 10FTDCh. 26 - Find (a) the minimum magnetic field needed to...Ch. 26 - An electron moving at right angles to a 0.10-T...Ch. 26 - Find the magnitude of the magnetic force on a...Ch. 26 - The magnitude of Earths magnetic field is about...Ch. 26 - A velocity selector uses a 60-mT magnetic field...Ch. 26 - Prob. 16ECh. 26 - How long: does it take an electron to complete a...Ch. 26 - Radio astronomers detect electromagnetic radiation...Ch. 26 - Prob. 19ECh. 26 - Two protons, moving in a plane perpendicular to a...Ch. 26 - Find the magnitude of the force on a 65.5-cm-long...Ch. 26 - A wire carrying 15 A makes a 25 angle with a...Ch. 26 - In an experimental nuclear fusion reactor, plans...Ch. 26 - A wire with mass per unit length 75 g/m runs...Ch. 26 - A wire carries 6.71 A. You form it into a...Ch. 26 - A single-turn wire loop is 2.0 cm in diameter and...Ch. 26 - A 2.2-m-long wire carrying 3.5 A is wound into a...Ch. 26 - Whats the current in a long wire if the magnetic...Ch. 26 - In standard household wiring, parallel wires about...Ch. 26 - Earths magnetic dipole moment is 8.01022 Am2. Find...Ch. 26 - A single-turn square wire loop 18.0 cm on a side...Ch. 26 - An electric motor contains a 250-turn circular...Ch. 26 - The line integral of the magnetic field on a...Ch. 26 - The magnetic field shown in Fig. 26.39 has uniform...Ch. 26 - Number 12 gauge wire, commonly used in household...Ch. 26 - Prob. 36ECh. 26 - A superconducting solenoid has 3300 turns per...Ch. 26 - Example 26.2: Chlorine is an unusual element in...Ch. 26 - Example 26.2: You’re trying to measure arsenic...Ch. 26 - Example 26.2: A beam of elections is initially...Ch. 26 - Example26.2: The mass spectrometer described in...Ch. 26 - Example 26.7: A long, straight wire 9.27 mm in...Ch. 26 - Example 26.7: Niobium-tin, a commonly used...Ch. 26 - Prob. 44ECh. 26 - Example 26.7: A coaxial cable like the one...Ch. 26 - Prob. 46PCh. 26 - Jupiter has the strongest magnetic field in our...Ch. 26 - A proton moving with velocity v1 = 3.6 104 m/s...Ch. 26 - A simplified model of Earths magnetic field has it...Ch. 26 - Before the advent of today’s flat-screen...Ch. 26 - Show that the orbital radius of a charged particle...Ch. 26 - Prob. 52PCh. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Youre designing a prosthetic ankle that includes a...Ch. 26 - A 20-cm-long conducting rod with mass 18 g is...Ch. 26 - Prob. 57PCh. 26 - Nuclear magnetic resonance (NMR) is a technique...Ch. 26 - A wire carrying 1.5 A passes through a 48-mT...Ch. 26 - Your smartphone contains a magnetometer that uses...Ch. 26 - A single piece of wire carrying current I is bent...Ch. 26 - You and a friend get lost while hiking, so your...Ch. 26 - Part of a long wire carrying current I is bent...Ch. 26 - A long, straight wire carries a 25-A current. A...Ch. 26 - A long conducting rod of radius R carries a...Ch. 26 - A long, hollow conducting pipe of radius R carries...Ch. 26 - You have 10 m of 0.50-mm-diameter copper wire and...Ch. 26 - Prob. 69PCh. 26 - The largest lightning strikes have peak currents...Ch. 26 - Prob. 71PCh. 26 - Prob. 72PCh. 26 - Prob. 73PCh. 26 - A circular wire loop of radius 15 cm and...Ch. 26 - Prob. 75PCh. 26 - A long, hollow conducting pipe of radius R and...Ch. 26 - A solid conducting wire of radius R runs parallel...Ch. 26 - A disk of radius a carries uniform surface charge...Ch. 26 - Youre developing a system to orient an orbiting...Ch. 26 - Prob. 80PCh. 26 - Prob. 81PCh. 26 - Find an expression for the magnetic field at the...Ch. 26 - Prob. 83PCh. 26 - A Helmholtz coil is a pair of identical circular...Ch. 26 - Prob. 85PCh. 26 - Derive Equation 26.20 by considering the current...Ch. 26 - Your roommate is sold on magnet therapy, a sham...Ch. 26 - A toroid is a solenoid-like coil bent into a...Ch. 26 - A toroid is a solenoid-like coil bent into a...Ch. 26 - A toroid is a solenoid-like coil bent into a...Ch. 26 - A toroid is a solenoid-like coil bent into a...
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- The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius r1= 3.0 cm and outer radius r2= 5.0 cm. A 50-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at r = 2.0 cm. r = 4.0 cm. and r = 6.0 cm.arrow_forwardAcircularcoiofwireofradius5.Ocmhas2Otums and carries a current of 2.0 A. The coil lies in a magnetic field of magnitude 0.50 T that is directed parallel to the plane of the coil. (a) What is the magnetic dipole moment of the coil? (b) What is the torque on the coil?arrow_forwardFigure CQ19.7 shows a coaxial cable carrying current I in its inner conductor and a return current of the same magnitude in the opposite direction in the outer conductor. The magnetic field strength at r = r0 is Find the ratio B/B0, at (a) r = 2r0 and (b) r = 4r0. Figure CQ19.7arrow_forward
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- Two long coaxial copper tubes, each of length L, are connected to a battery of voltage V. The inner tube has inner radius o and outer radius b, and the outer tube has inner radius c and outer radius d. The tubes are then disconnected from the battery and rotated in the same direction at angular speed of radians per second about their common axis. Find the magnetic field (a) at a point inside the space enclosed by the inner tube r d. (Hint: Hunk of copper tubes as a capacitor and find the charge density based on the voltage applied, Q=VC, C=20LIn(c/b) .)arrow_forwardAssume the region to the right of a certain plane contains a uniform magnetic field of magnitude 1.00 mT and the field is zero in the region to the left of the plane as shown in Figure P22.71. An electron, originally traveling perpendicular to the boundary plane, passes into the region of the field. (a) Determine the time interval required for the electron to leave the field-filled region, noting that the electrons path is a semicircle. (b) Assuming the maximum depth of penetration into the field is 2.00 cm, find the kinetic energy of the electron.arrow_forward(a) A typical current in a lightning bolt is 10¹ A. Estimate the magnetic field 1 m from the bolt. (b) The magnitude of the magnetic field 50 cm from a long, thin, straight wire is 8.0μµT. What is the current through the long wire? (c) The two long, parallel wires shown in the accompanying figure carry currents in the same direction. If I₁ = 10 A and I₂ = 20A, what is the magnetic field at point P? 4 15.0 cm .P 5.0 cm 1₂ 2arrow_forward
- The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius r₁ = 3.5 cm and outer radius r2 = 7 cm. A 51-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at r = 0.5 cm, r = 6.5 cm, and T = 8 cm. 12 Hints a. Magnetic field at r = 0.5 cm is 0 b. Magnetic field at r = 6.5 cm is c. Magnetic field at r = 8 cm is T. Additional hint for (a) T. Additional hint for (b) T. Additional hint for (c)arrow_forwardFor a research project, a student needs a solenoid that produces an interior magnetic field of 0.0200 T. She decides to use a current of 1.00 A and a wire 0.500 mm in diameter. She winds the solenoid in layers on an insulating form 1.00 cm in diameter and 19.0 cm long. Determine the number of layers of wire needed. (Round your answer up to the nearest integer.) layers Determine the total length of the wire. (Use the integer number of layers and the average layer diameter.) marrow_forward
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