Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Question
Chapter 26, Problem 50P
To determine
The magnitude and direction of the net force on the circuit.
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. A uniform magnetic field is directed normal to the plane of a wire that has been formed into 6a circular ring of radius, r = 3.1 cm. The magnetic field is uniform in space, but changeswith time. The resistance of this ring is R = 2.0 Ω. A steady current of i = 2.5 mA flowsthrough the wire. How fast is the magnetic field changing?
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".
Table 24.1 notes that the magnetic field 10 cm from a wire carrying a 1 A current is 2 μT. What is the field 1 cm from the wire?
Chapter 26 Solutions
Essential University Physics (3rd Edition)
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 - A charged particle moves through a region...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 - An electron and a proton moving at the same speed...Ch. 26 - Two identical particles carrying equal charge are...Ch. 26 - In what two senses does a current loop behave like...Ch. 26 - Prob. 8FTDCh. 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. 12FTDCh. 26 - Prob. 13FTDCh. 26 - Prob. 14FTDCh. 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. 20ECh. 26 - How long does it take an electron to complete a...Ch. 26 - Radio astronomers detect electromagnetic radiation...Ch. 26 - Prob. 23ECh. 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 - Youre on a team performing a high-magnetic-field...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. 40ECh. 26 - A superconducting solenoid has 3300 turns per...Ch. 26 - A particle carrying a 50-C charge moves with...Ch. 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 - A beam of electrons moving in the x-direction at...Ch. 26 - Show that the orbital radius of a charged particle...Ch. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 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. 53PCh. 26 - Prob. 54PCh. 26 - A simple electric motor consists of a 220-turn...Ch. 26 - Nuclear magnetic resonance (NMR) is a technique...Ch. 26 - A wire carrying 1.5 A passes through a 48-mT...Ch. 26 - Your company is developing a device incorporating...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 - Prob. 62PCh. 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 - A solenoid used in a plasma physics experiment is...Ch. 26 - A solenoid used in a plasma physics experiment is...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 - A coaxial cable (see Fig. 26.47) consists of a...Ch. 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 magnetic dipole = is on the axis of a 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_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_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_forward
- A mass spectrometer (Fig. 30.40, page 956) operates with a uniform magnetic field of 20.0 mT and an electric field of 4.00 103 V/m in the velocity selector. What is the radius of the semicircular path of a doubly ionized alpha particle (ma = 6.64 1027 kg)?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_forwardCalculate the magnitude of the magnetic field at a point 25.0 cm from a long, thin conductor carrying a current of 2.00 A.arrow_forward
- The magnitude of the magnetic field 50 cm from a long, thin, straight wire is 8.0T . What is the current through the long wire?arrow_forwardConsider the system pictured in Figure P28.26. A 15.0-cm horizontal wire of mass 15.0 g is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. The wire is free to move vertically without friction on the two vertical conductors. When a 5.00-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. (a) What forces act on the horizontal wire, and (b) under what condition is the wire able to move upward at constant velocity? (c) Find the magnitude and direction of the minimum magnetic Field required to move the wire at constant speed. (d) What happens if the magnetic field exceeds this minimum value? Figure P28.26arrow_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
- A current of 1.2 A is flowing in a coaxial cable whose outer radius is five times its inner radius. What is the magnetic field energy stored in a 3.0-m length of the cable?arrow_forwardA toroid with a square cross section 3.0cm3.0cm has an inner radius of 25.0 cm. It is wound with 500 turns of wire, and it carries a current of 2.0 A. What is the strength of the magnetic field at the center of the square cross section?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
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