College Physics:
11th Edition
ISBN: 9781305965515
Author: SERWAY, Raymond A.
Publisher: Brooks/Cole Pub Co
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Chapter 19, Problem 15P
To determine
The radius of the path in the system for a singly charged ion.
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A particle passes through a mass spectrometer as illustrated in Figure P19.36. The electric field between the plates of the velocity selector has a magnitude of 8 250 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.093 1 T. In the deflection chamber the particle strikes a photographic plate 39.6 cm removed from its exit point after traveling in a semicircle. (a) What is the mass-to-charge ratio of the particle? (b) What is the mass of the particle if it is doubly ionized? (c) What is its identity, assuming it’s an element?
Consider the mass spectrometer shown schematically inFigure P19.15. The electric field between the plates of thevelocity selector is 9.50 x 102 V/m, and the magnetic fieldsin both the velocity selector and the deflection chamber havemagnitudes of 0.930 T. Calculate the radius of the path in thesystem for a singly charged ion with mass m = 2.18 x 10-26 kg.
A particle passes through a mass spectrometer as illustrated in the figure below. The electric field between the plates of the velocity selector has a magnitude of 8070 V/m, and the magnetic fields in both the
velocity selector and the deflection chamber have magnitudes of 0.0921 T. In the deflection chamber the particle strikes a photographic plate 57.9 cm removed from its exit point after traveling in a semicircle.
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(a) What is the mass-to-charge ratio of the particle?
kg/C
(b) What is the mass of the particle if it is doubly ionized?
kg
(c) What is its identity, assuming it's an element? (Enter the name of an element.).
Chapter 19 Solutions
College Physics:
Ch. 19.3 - A charged particle moves in a straight line...Ch. 19.3 - The north-pole end of a bar magnet is held near a...Ch. 19.5 - As a charged particle moves freely in a circular...Ch. 19.6 - A square and a circular loop with the same area...Ch. 19.8 - Which of the following actions would double the...Ch. 19.8 - Prob. 19.6QQCh. 19 - Prob. 1CQCh. 19 - Prob. 2CQCh. 19 - How can the motion of a charged particle be used...Ch. 19 - Prob. 4CQ
Ch. 19 - The following statements are related to the force...Ch. 19 - Will a nail be attracted to either pole of a...Ch. 19 - Figure CQ19.7 shows a coaxial cable carrying...Ch. 19 - A magnet attracts a piece of iron. The iron can...Ch. 19 - Figure CQ19.9 shows four positive charges, A, B,...Ch. 19 - Is the magnetic field created by a current loop...Ch. 19 - Suppose you move along a wire at the same speed as...Ch. 19 - Why do charged particles from outer space, called...Ch. 19 - A hanging Slinky toy is attached to a powerful...Ch. 19 - How can a current loop he used to determine the...Ch. 19 - Prob. 15CQCh. 19 - Figure CQ19.16 shows four permanent magnets, each...Ch. 19 - Two charged particles are projected in the same...Ch. 19 - Prob. 18CQCh. 19 - A magnetic field exerts a torque on each of the...Ch. 19 - Consider an electron near the Earths equator. In...Ch. 19 - (a) Find the direction of the force on a proton (a...Ch. 19 - Find the direction of the magnetic field acting on...Ch. 19 - Prob. 4PCh. 19 - A laboratory electromagnet produces a magnetic...Ch. 19 - Prob. 6PCh. 19 - Electrons and protons travel from the Sun to the...Ch. 19 - An oxygen ion (O+) moves in the xy-plane with a...Ch. 19 - A proton moving at 4.00 106 m/s through a...Ch. 19 - Sodium ions (Na+) move at 0.851 m/s through a...Ch. 19 - At the equator, near the surface of Earth, the...Ch. 19 - A proton travels with a speed of 5.02 106 m/s at...Ch. 19 - An electron moves in a circular path perpendicular...Ch. 19 - Figure P19.14a is a diagram of a device called a...Ch. 19 - Prob. 15PCh. 19 - A mass spectrometer is used to examine the...Ch. 19 - Jupiters magnetic field occupies a volume of space...Ch. 19 - Electrons in Earths upper atmosphere have typical...Ch. 19 - Prob. 19PCh. 19 - A proton (charge +e, mass mp), a deuteron (charge...Ch. 19 - A particle passes through a mass spectrometer as...Ch. 19 - In Figure P19.2, assume in each case the velocity...Ch. 19 - A current I = 15 A is directed along the positive...Ch. 19 - A straight wire carrying a 3.0-A current is placed...Ch. 19 - In Figure P19.3, assume in each case the velocity...Ch. 19 - A wire having a mass per unit length of 0.500 g/cm...Ch. 19 - A wire carries a current of 10.0 A in a direction...Ch. 19 - At a certain location, Earth has a magnetic field...Ch. 19 - A wire with a mass of 1.00 g/cm is placed on a...Ch. 19 - Mass m = 1.00 kg is suspended vertically at rest...Ch. 19 - Consider the system pictured in Figure P19.31. A...Ch. 19 - A metal rod of mass m carrying a current I glides...Ch. 19 - In Figure P19.33, the cube is 40.0 cm on each...Ch. 19 - A horizontal power line of length 58 m carries a...Ch. 19 - A wire is formed into a circle having a diameter...Ch. 19 - A current of 17.0 mA is maintained in a single...Ch. 19 - An eight-turn coil encloses an elliptical area...Ch. 19 - A current-carrying rectangular wire loop with...Ch. 19 - A 6.00-turn circular coil of wire is centered on...Ch. 19 - The orientation of small satellites is often...Ch. 19 - Along piece of wire with a mass of 0.100 kg and a...Ch. 19 - A rectangular loop has dimensions 0.500 m by 0.300...Ch. 19 - A lightning bolt may carry a current of 1.00 104...Ch. 19 - A long, straight wire going through the origin is...Ch. 19 - Neurons in our bodies carry weak currents that...Ch. 19 - In 1962 measurements of the magnetic field of a...Ch. 19 - A cardiac pacemaker can be affected by a static...Ch. 19 - The two wires shown in Figure P19.48 are separated...Ch. 19 - Prob. 49PCh. 19 - Two long, parallel wires carry currents of I1 =...Ch. 19 - Two long, parallel wires carry currents of I1 =...Ch. 19 - Prob. 52PCh. 19 - The magnetic field 40.0 cm away from a long,...Ch. 19 - Prob. 54PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - A wire with a weight per unit length of 0.080 N/m...Ch. 19 - In Figure P19.58 the current in the long, straight...Ch. 19 - A long solenoid that has 1.00 103 turns uniformly...Ch. 19 - Prob. 60PCh. 19 - It is desired to construct a solenoid that will...Ch. 19 - Certain experiments must be performed in the...Ch. 19 - Ail electron is moving at a speed of 1.0 104 in/s...Ch. 19 - Figure P19.64 is a setup that can be used to...Ch. 19 - Two coplanar and concentric circular loops of wire...Ch. 19 - An electron moves in a circular path perpendicular...Ch. 19 - Prob. 67APCh. 19 - A 0.200-kg metal rod carrying a current of 10.0 A...Ch. 19 - Using an electromagnetic flowmeter (Fig. P19.69),...Ch. 19 - A uniform horizontal wire with a linear mass...Ch. 19 - Prob. 71APCh. 19 - Two long, parallel wires, each with a mass per...Ch. 19 - Protons having a kinetic energy of 5.00 MeV are...Ch. 19 - A straight wire of mass 10.0 g and length 5.0 cm...Ch. 19 - A 1.00-kg ball having net charge Q = 5.00 C is...Ch. 19 - Two long, parallel conductors separated by 10.0 cm...
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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_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 Hall effect finds important application in the electronics industry. It is used to find the sign and density of the carriers of electric current in semiconductor chips. The arrangement is shown in Figure P22.66. A semiconducting block of thickness t and width d carries a current I in the x direction. A uniform magnetic field B is applied in the y direction. If the charge carriers are positive, the magnetic force deflects them in the z direction. Positive charge accumulates on the top surface of the sample and negative charge on the bottom surface, creating a downward electric field. In equilibrium, the downward electric force on the charge carriers balances the upward magnetic force and the carriers move through the sample without deflection. The Hall voltage ΔVH = Vc − Va between the top and bottom surfaces is measured, and the density of the charge carriers can be calculated from it. (a) Demonstrate that if the charge carriers are negative the Hall voltage will be negative. Hence, the Hall effect reveals the sign of the charge carriers, so the sample can be classified as p-type (with positive majority charge carriers) or n-type (with negative). (b) Determine the number of charge carriers per unit volume n in terms of I, t, B, ΔVH, and the magnitude q of the carrier charge. Figure P22.66arrow_forward
- A proton moving in the plane of the page has a kinetic energy of 6.00 MeV. A magnetic field of magnitude H = 1.00 T is directed into the page. The proton enters the magnetic field with its velocity vector at an angle = 45.0 to the linear boundary of' the field as shown in Figure P29.80. (a) Find x, the distance from the point of entry to where the proton will leave the field. (b) Determine . the angle between the boundary and the protons velocity vector as it leaves the field.arrow_forwardAn electron in a TV CRT moves with a speed of 6.0107 m/s, in a direction perpendicular to Earth's field, which has a strength of 5.0105 T. (a) What strength electric field must be applied perpendicular to the Earth’s field to make the election moves in a straight line? (b) If this is done between plates separated by 1.00 cm, what is the voltage applied? (Note that TVs are usually surrounded by a ferromagnetic material to shield against external magnetic fields and avoid the need for such a collection,)arrow_forwardWhy is the following situation impossible? Figure P28.46 shows an experimental technique for altering the direction of travel for a charged particle. A particle of charge q = 1.00 C and mass m = 2.00 1015 kg enters the bottom of the region of uniform magnetic field at speed = 2.00 105 m/s, with a velocity vector perpendicular to the field lines. The magnetic force on the particle causes its direction of travel to change so that it leaves the region of the magnetic field at the top traveling at an angle from its original direction. The magnetic field has magnitude B = 0.400 T and is directed out of the page. The length h of the magnetic field region is 0.110 m. An experimenter performs the technique and measures the angle at which the particles exit the top of the field. She finds that the angles of deviation are exactly as predicted. Figure P28.46arrow_forward
- Figure P30.10 shows a circular current-carrying wire. Using the coordinate system indicated (with the z axis out of the page), state the direction of the magnetic field at points A and B.arrow_forwardTwo 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_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
- Review. In studies of the possibility of migrating birds using the Earths magnetic field for navigation, birds have been fitted with coils as caps and collars as shown in Figure P22.39. (a) If the identical coils have radii of 1.20 cm and are 2.20 cm apart, with 50 turns of wire apiece, what current should they both carry to produce a magnetic field of 4.50 105 T halfway between them? (b) If the resistance of each coil is 210 V, what voltage should the battery supplying each coil have? (c) What power is delivered to each coil? Figure P22.39arrow_forward(a) An oxygen16 ion with a mass at 2.661026kg travels at 5.00106m/s perpendicular to a 1.20T magnetic field, which makes it move in a circular arc with a 0.231-m radius. What positive charge is on the ion? (b) What is the radio of this charge to the charge of an electron? (c) Discuss why the radio found in (b) should be an integer.arrow_forwardDetermine the initial direction of the deflection of charged particles as they enter the magnetic fields shown in Figure P29.2.arrow_forward
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