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 29, Problem 29.25P
To determine
The radius of the path for a singly charged ion.
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A mass spectrometer (see figure below) operates with a uniform magnetic field of 21.0 mT and an electric field of 3.55 ✕ 103 V/m in the velocity selector. What is the radius of the semicircular path of a doubly ionized alpha particle
(ma = 6.64 ✕ 10−27 kg)?
Consider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 3.00 x 103 v/m, and the magnetic field in
both the velocity selector and the deflection chamber has a magnitude of 0.0300 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.48 x 10 26 kg.
Bo
in
Detector
array
Bin x
Velocity selector
Consider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 2.00 x 10³ V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of
0.0400 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.52 x 10-26 kg.
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Detector
array
Bo, in
Bin
Velocity selector
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*
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20
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+
+
E
X
x
X
x
X
1200
7
9
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Chapter 29 Solutions
Physics for Scientists and Engineers, Volume 1, Chapters 1-22
Ch. 29 - An electron moves in the plane of this paper...Ch. 29 - Prob. 29.2QQCh. 29 - A wire carries current in the plane of this paper...Ch. 29 - (i) Rank the magnitudes of the torques acting on...Ch. 29 - Prob. 29.1OQCh. 29 - Rank the magnitudes of' the forces exerted on the...Ch. 29 - A particle with electric charge is fired into a...Ch. 29 - A proton moving horizontally enters a region where...Ch. 29 - Prob. 29.5OQCh. 29 - A thin copper rod 1.00 in long has a mass of 50.0...
Ch. 29 - Prob. 29.7OQCh. 29 - Classify each of die following statements as a...Ch. 29 - An electron moves horizontally across the Earths...Ch. 29 - A charged particle is traveling through a uniform...Ch. 29 - In the velocity selector shown in Figure 29.13....Ch. 29 - Prob. 29.12OQCh. 29 - A magnetic field exerts a torque on each of the...Ch. 29 - Can a constant magnetic field set into motion an...Ch. 29 - Explain why it is not possible to determine the...Ch. 29 - Is it possible to orient a current loop in a...Ch. 29 - How can the motion of a moving charged particle be...Ch. 29 - Prob. 29.5CQCh. 29 - Charged panicles from outer space, called cosmic...Ch. 29 - Two charged particles are projected in the same...Ch. 29 - At the equator, near the surface of the Earth, the...Ch. 29 - Determine the initial direction of the deflection...Ch. 29 - Find the direction of the magnetic field acting on...Ch. 29 - Consider an electron near the Earths equator. In...Ch. 29 - Prob. 29.5PCh. 29 - A proton moving at 4.00 106 m/s through a...Ch. 29 - An electron is accelerated through 2.40 103 V...Ch. 29 - A proton moves with a velocity of v = (2i 4j + k)...Ch. 29 - A proton travels with a speed of 5.02 106 m/s in...Ch. 29 - A laboratory electromagnet produces a magnetic...Ch. 29 - A proton moves perpendicular to a uniform magnetic...Ch. 29 - Review. A charged particle of mass 1.50 g is...Ch. 29 - An electron moves in a circular path perpendicular...Ch. 29 - An accelerating voltage of 2.50103 V is applied to...Ch. 29 - A proton (charge + e, mass mp), a deuteron (charge...Ch. 29 - A particle with charge q and kinetic energy K...Ch. 29 - Review. One electron collides elastically with a...Ch. 29 - Review. One electron collides elastically with a...Ch. 29 - Review. An electron moves in a circular path...Ch. 29 - Review. A 30.0-g metal hall having net charge Q =...Ch. 29 - A cosmic-ray proton in interstellar space has an...Ch. 29 - Assume the region to the right of a certain plane...Ch. 29 - A singly charged ion of mass m is accelerated from...Ch. 29 - A cyclotron designed to accelerate protons has a...Ch. 29 - Prob. 29.25PCh. 29 - Singly charged uranium-238 ions are accelerated...Ch. 29 - A cyclotron (Fig. 28.16) designed to accelerate...Ch. 29 - A particle in the cyclotron shown in Figure 28.16a...Ch. 29 - Prob. 29.29PCh. 29 - Prob. 29.30PCh. 29 - Prob. 29.31PCh. 29 - A straight wire earning a 3.00-A current is placed...Ch. 29 - A conductor carrying a current I = 15.0 A is...Ch. 29 - A wire 2.80 m in length carries a current of 5.00...Ch. 29 - A wire carries a steady current of 2.40 A. A...Ch. 29 - Why is the following situation impossible? Imagine...Ch. 29 - Review. A rod of mass 0.720 kg and radius 6.00 cm...Ch. 29 - Review. A rod of mass m and radius R rests on two...Ch. 29 - A wire having a mass per unit length of 0.500 g/cm...Ch. 29 - Consider the system pictured in Figure P28.26. A...Ch. 29 - A horizontal power line oflength 58.0 in carries a...Ch. 29 - A strong magnet is placed under a horizontal...Ch. 29 - Assume the Earths magnetic field is 52.0 T...Ch. 29 - In Figure P28.28, the cube is 40.0 cm on each...Ch. 29 - Prob. 29.45PCh. 29 - A 50.0-turn circular coil of radius 5.00 cm can be...Ch. 29 - A magnetized sewing needle has a magnetic moment...Ch. 29 - A current of 17.0 mA is maintained in a single...Ch. 29 - An eight-turn coil encloses an elliptical area...Ch. 29 - Prob. 29.50PCh. 29 - A rectangular coil consists of N = 100 closely...Ch. 29 - A rectangular loop of wire has dimensions 0.500 m...Ch. 29 - A wire is formed into a circle having a diameter...Ch. 29 - A Hall-effect probe operates with a 120-mA...Ch. 29 - Prob. 29.55PCh. 29 - Prob. 29.56APCh. 29 - Prob. 29.57APCh. 29 - Prob. 29.58APCh. 29 - A particle with positive charge q = 3.20 10-19 C...Ch. 29 - Figure 28.11 shows a charged particle traveling in...Ch. 29 - Review. The upper portion of the circuit in Figure...Ch. 29 - Within a cylindrical region of space of radius 100...Ch. 29 - Prob. 29.63APCh. 29 - (a) A proton moving with velocity v=ii experiences...Ch. 29 - Review. A 0.200-kg metal rod carrying a current of...Ch. 29 - Prob. 29.66APCh. 29 - A proton having an initial velocity of 20.0iMm/s...Ch. 29 - Prob. 29.68APCh. 29 - A nonconducting sphere has mass 80.0 g and radius...Ch. 29 - Why is the following situation impossible? Figure...Ch. 29 - Prob. 29.71APCh. 29 - A heart surgeon monitors the flow rate of blood...Ch. 29 - A uniform magnetic Held of magnitude 0.150 T is...Ch. 29 - Review. (a) Show that a magnetic dipole in a...Ch. 29 - Prob. 29.75APCh. 29 - Prob. 29.76APCh. 29 - Consider an electron orbiting a proton and...Ch. 29 - Protons having a kinetic energy of 5.00 MeV (1 eV...Ch. 29 - Review. A wire having a linear mass density of...Ch. 29 - A proton moving in the plane of the page has a...
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- An alpha-particle ( m=6.641027kg , q=3.21019C ) travels in a circular path of radius 25 cm in a uniform magnetic field of magnitude 1.5 T. (a) What is the speed of the particle? (b) What is the kinetic energy in electron-volts? (c) Through what potential difference must the particle be accelerated in order to give it this kinetic energy?arrow_forwardAn electron of kinetic energy 2000 eV passes between parallel plates that are 1.0 an apart and kept at a potential difference of 300 V. What is the strength of the uniform magnetic field B that will allow the electron to travel undeflected through the plates? Assume E and B are perpendicular.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_forward
- Consider the mass spectrometer shown schematically in Active Figure 22.12. The magnitude of the electric field between the plates of the velocity selector is 2.50 103 V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.035 0 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.18 1026 kg.arrow_forwardDetermine the initial direction of the deflection of charged particles as they enter the magnetic fields as shown in Figure P22.2. Figure P22.2.arrow_forwardThe strengths of the fields in the velocity selector of a Bainbridge mass spectrometer are B = 0.500 T and E=1.2105 Van, and tire strength of the magnetic field that separates the ions is Bo=0.750 T. A stream of singly charged Li ions is found to bend in a circular arc of radius 2.32 cm. What is the mass of the Li ions?arrow_forward
- A square loop whose sides are 6.0-cm long is made with copper wire of radius 1.0 mm. If a magnetic field perpendicular to the loop is changing at a rate of 5.0 mT/s, what is the current in the loop?arrow_forwardA flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of strength 0.050 T. If tlie maximum emf produced in die coil is 30.0 mV, what is the angular velocity of the coil?arrow_forwardConsider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 2.80 x 10³ V/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitud 0.0450 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.00 x 10-26 kg. X X * P Bo, in * x * * * * r X x Detector array in Velocity selector x x X x * X x + + E X x x X x 100 XI X X x +9 X X X X x x x * X x X 0.19 X What is the speed of the ion through the velocity selector if it experiences zero net force? marrow_forward
- kg. Consider the mass spectrometer shown schematically in the figure below. The electric field between the plates of the velocity selector is 945 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.900 T. Calculate the radius r of the path for a singly charged ion with mass m = 2.06 x 10-26 mm X x P x r Bo, in X x X X X X Photographic plate Bin Velocity selector x x x x + + 1₂ E x x x x X--- --- V X X x || 9 XA I x I x X X x x x X Xarrow_forwardA metal strip 7.00 cm long, 0.82 cm wide, and 0.71 mm thick moves with constant velocity (v) through a uniform magnetic field B = 1.10 mT directed perpendicular to the strip. A potential difference of 3.50 µV is measured across the width of the strip. What is the speed v? m/s V= What potential difference would be measured across the width of the strip if the velocity is 1.9 m/s? AV = μV xxx X X X X X X X X X X X X x X: W X X X X X-X length B X X xxarrow_forwardConsider the mass spectrometer shown schematically in the figure below. The magnitude of the electric field between the plates of the velocity selector is 2.10 x 103 v/m, and the magnetic field in both the velocity selector and the deflection chamber has a magnitude of 0.0300 T. Calculate the radius of the path for a singly charged ion having a mass m = 2.16 x 10-26 kg. Bo, in * x x x P Detector array Pin Velocity selector 5.04E-20 What is the charge of this ion in coulombs? marrow_forward
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