Essential University Physics, Volume 1 and Volume 2 - With Access
3rd Edition
ISBN: 9780134645490
Author: Wolfson
Publisher: PEARSON
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Question
Chapter 26, Problem 48P
(a)
To determine
The frequency at which the voltage is altered when a deuteron nuclei is accelerated using cyclotron.
(b)
To determine
The maximum kinetic energy of deuterons.
(c)
To determine
The number of orbits the deuteron completes before reaching maximum energy if the magnitude of potential difference is
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A cyclotron’s oscillator frequency is 10 MHz. What should be the operating magnetic field for accelerating protons? If the radius of its ‘dees’ is 60 cm, what is the kinetic energy (in MeV) of the proton beam produced by the accelerator. (e =1.60 × 10-19 C, mp= 1.67 × 10-27 kg, 1 MeV = 1.6 × 10-13 J)
It takes a proton with a kinetic energy of 11 MeV to efficiently change 18O nuclei into 18F. If the magnetic field inside the cyclotron is 1.2 T, what is the radius of the protons’ orbit just before they exit the cyclotron?
In a mass spectrometer, if the following particles were accelerated into an
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may assume that they enter the mass spectrometer with identical velocity.
a) a proton (1p) c)
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c) a deuteron (1p+1n) d)
d) an alpha particle (2p+2n)
Chapter 26 Solutions
Essential University Physics, Volume 1 and Volume 2 - With Access
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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- A proton precesses with a frequency p in the presence of a magnetic field. If the intensity of the magnetic field is doubled, what happens to the precessional frequency?arrow_forwardCheck Your Understanding A cyclotron is to be designed to accelerate protons to kinetic energies of 20 Mev using a magnetic field of 2.0 T. What is the required radius of the cyclotron?arrow_forwardThe magnetic poles of a small cyclotron produce a magnetic field with magnitude 0.85 T. The poles have a radius of 0.40 m, which is the maximum radius of the orbits of the accelerated particles. (a) What is the maximum energy to which protons (q = 1.60 * 10-19 C, m = 1.67 * 10-27 kg) can be accelerated by this cyclotron? Give your answer in electron volts and in joules. (b) What is the time for one revolution of a proton orbiting at this maximum radius? (c) What would the magnetic-field magnitude have to be for the maximum energy to which a proton can be accelerated to be twice that calculated in part (a)? (d) For B = 0.85 T, what is the maximum energy to which alpha particles (q = 3.20 * 10-19 C, m = 6.64 * 10-27 kg) can be accelerated by this cyclotron? How does this compare to the maximum energy for protons?arrow_forward
- What is the radius of curvature of the path of a 3.0-keV proton in a perpendicular magnetic field of magnitude 0.80 T?arrow_forwardConsider a region where a 1.85-volt-per-meter electric field and a 2.49-tesla magnetic field exist and are along the same direction. If an 4.72-coulomb charge is in said region, is moving at a direction 32.75 degrees counter-clockwise from the direction of the magnetic field, and is experiencing a total force of 37.88 newtons, determine the speed of the electron, in meters per second. Assume the velocity vector, the electric field, and the magnetic field are all coplanar.arrow_forwardFor a proton to pass undeflected in a region where the electric field is 0.5 N/C and a magnetic field of 1.25x10^-4 T, its speed must be?arrow_forward
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