Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 22, Problem 75P
(a)
To determine
The value for the angle
(b)
To determine
The
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Protons having a kinetic energy of 4.66 MeV (1 ev = 1.60 x 1019 )) are moving in the positive x direction and enter a magnetic field B - 0.049 2k T directed out of the plane of the page and extending from x =
O to x - 1.00 m as shown in the figure below.
x= 1.00 m
(a) Ignoring relativistic effects, find the angle a between the initial velocity vector of the proton beam and the velocity vector after the beam emerges from the field.
(b) Calculate the y component of the protons' momenta as they leave the magnetic field.
kg • m/s
A particle with positive charge q = 3.52 x 1018 C moves with a velocity v = (5î + 4ĵ – k) m/s through a region where both a uniform magnetic field and a uniform electric field exist.
(a) Calculate the total force on the moving particle, taking B = (3î + 2ĵ + k) T and E = (3î - j - 2k) V/m. (Give your answers in N for each component.)
Ey =
Ey =
F, =
(b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.)
° counterclockwise from the +x-axis
(c) What If? For what vector electric field would the total force on the particle be zero? (Give your answers in V/m for each component.)
E, =
V/m
E, =
V/m
E, =
V/m
Chapter 22 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 22.2 - An electron moves in the plane of this paper...Ch. 22.3 - A charged particle is moving perpendicular to a...Ch. 22.5 - A wire carries current in the plane of this paper...Ch. 22.7 - Consider the magnetic field due to the current in...Ch. 22.8 - Prob. 22.5QQCh. 22.9 - Figure 22.30 (Quick Quiz 22.6) Four closed paths...Ch. 22.9 - Prob. 22.7QQCh. 22.10 - Consider a solenoid that is very long compared...Ch. 22 - Prob. 1OQCh. 22 - What creates a magnetic field? More than one...
Ch. 22 - A charged particle is traveling through a uniform...Ch. 22 - A proton moving horizontally enters a region where...Ch. 22 - Two long, parallel wires each carry the same...Ch. 22 - Two long, straight wires cross each other at a...Ch. 22 - Prob. 7OQCh. 22 - Prob. 8OQCh. 22 - Answer each question yes or no. (a) Is it possible...Ch. 22 - A long, straight wire carries a current I (Fig....Ch. 22 - A thin copper rod 1.00 m long has a mass of 50.0...Ch. 22 - A magnetic field exerts a torque on each of the...Ch. 22 - Two long, parallel wires carry currents of 20.0 A...Ch. 22 - Prob. 14OQCh. 22 - A long solenoid with closely spaced turns carries...Ch. 22 - Solenoid A has length L and N turns, solenoid B...Ch. 22 - Prob. 1CQCh. 22 - Prob. 2CQCh. 22 - Prob. 3CQCh. 22 - Prob. 4CQCh. 22 - Prob. 5CQCh. 22 - Prob. 6CQCh. 22 - Prob. 7CQCh. 22 - Imagine you have a compass whose needle can rotate...Ch. 22 - Prob. 9CQCh. 22 - Can a constant magnetic field set into motion an...Ch. 22 - Prob. 11CQCh. 22 - Prob. 12CQCh. 22 - Prob. 13CQCh. 22 - Prob. 14CQCh. 22 - A proton travels with a speed of 3.00 106 m/s at...Ch. 22 - Determine the initial direction of the deflection...Ch. 22 - An electron is accelerated through 2.40 103 V...Ch. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Review. An electron moves in a circular path...Ch. 22 - A cosmic-ray proton in interstellar space has an...Ch. 22 - Prob. 11PCh. 22 - Prob. 12PCh. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Consider the mass spectrometer shown schematically...Ch. 22 - Prob. 16PCh. 22 - The picture tube in an old black-and-white...Ch. 22 - Prob. 18PCh. 22 - Prob. 19PCh. 22 - In Figure P22.20, the cube is 40.0 cm on each...Ch. 22 - Prob. 21PCh. 22 - Prob. 22PCh. 22 - A wire 2.80 m in length carries a current of 5.00...Ch. 22 - A current loop with magnetic dipole moment is...Ch. 22 - A rectangular coil consists of N = 100 closely...Ch. 22 - Prob. 26PCh. 22 - Prob. 27PCh. 22 - Prob. 28PCh. 22 - Calculate the magnitude of the magnetic field at a...Ch. 22 - An infinitely long wire carrying a current I is...Ch. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - One long wire carries current 30.0 A to the left...Ch. 22 - Prob. 34PCh. 22 - Prob. 35PCh. 22 - Prob. 36PCh. 22 - Prob. 37PCh. 22 - 3. In Niels Bohr’s 1913 model of the hydrogen...Ch. 22 - Review. In studies of the possibility of migrating...Ch. 22 - Prob. 40PCh. 22 - Prob. 41PCh. 22 - Prob. 42PCh. 22 - In Figure P22.43, the current in the long,...Ch. 22 - Prob. 44PCh. 22 - Prob. 45PCh. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - A packed bundle of 100 long, straight, insulated...Ch. 22 - Prob. 49PCh. 22 - Prob. 50PCh. 22 - Prob. 51PCh. 22 - Prob. 52PCh. 22 - A long, straight wire lies on a horizontal table...Ch. 22 - Prob. 54PCh. 22 - A single-turn square loop of wire, 2.00 cm on each...Ch. 22 - Prob. 56PCh. 22 - A long solenoid that has 1 000 turns uniformly...Ch. 22 - A solenoid 10.0 cm in diameter and 75.0 cm long is...Ch. 22 - Prob. 59PCh. 22 - In Niels Bohr’s 1913 model of the hydrogen atom,...Ch. 22 - Prob. 61PCh. 22 - Prob. 62PCh. 22 - Prob. 63PCh. 22 - Prob. 64PCh. 22 - Prob. 65PCh. 22 - The Hall effect finds important application in the...Ch. 22 - Prob. 67PCh. 22 - Prob. 68PCh. 22 - Prob. 69PCh. 22 - Prob. 70PCh. 22 - Assume the region to the right of a certain plane...Ch. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Prob. 74PCh. 22 - Prob. 75PCh. 22 - Review. Rail guns have been suggested for...Ch. 22 - Prob. 77PCh. 22 - Prob. 78PCh. 22 - Prob. 79PCh. 22 - Prob. 80PCh. 22 - Prob. 81P
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- 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_forwardA particle moving downward at a speed of 6.0106 m/s enters a uniform magnetic field that is horizontal and directed from east to west. (a) If the particle is deflected initially to the north in a circular arc, is its charge positive or negative? (b) If B = 0.25 T and the charge-to-mass ratio (q/m) of the particle is 40107 C/kg. what is ±e radius at the path? (c) What is the speed of the particle after c has moved in the field for 1.0105s ? for 2.0s?arrow_forwardIn Niels Bohr’s 1913 model of the hydrogen atom, the single electron is in a circular orbit of radius 5.29 × 10−11 m and its speed is 2.19 × 106 m/s. (a) What is the magnitude of the magnetic moment due to the electron’s motion? (b) If the electron moves in a horizontal circle, counterclockwise as seen from above, what is the direction of this magnetic moment vector?arrow_forward
- In Figure P22.43, the current in the long, straight wire is I1 = 5.00 A and the wire lies in the plane of the rectangular loop, which carries a current I2 = 10.0 A. The dimensions in the figure are c = 0.100 m, a = 0.150 m, and = 0.450 m. Find the magnitude and direction of the net force exerted on the loop by the magnetic field created by the wire. Figure P22.43 Problems 43 and 44.arrow_forwardA proton (charge + e, mass mp), a deuteron (charge + e, mass 2mp), and an alpha particle (charge +2e, mass 4mp) are accelerated from rest through a common potential difference V. Each of the particles enters a uniform magnetic field B, with its velocity in a direction perpendicular to B. The proton moves in a circular path of radius rp. In terms of rp, determine (a) the radius rd of the circular orbit for the deuteron and (b) the radius ra for the alpha particle.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_forward
- A magnetic field directed into the page changes with time according to B = 0.030 0t2 + 1.40, where B is in teslas and t is in seconds. The field has a circular cross section of radius R = 2.50 cm (see Fig. P23.28). When t = 3.00 s and r2 = 0.020 0 m, what are (a) the magnitude and (b) the direction of the electric field at point P2?arrow_forwardOne long wire carries current 30.0 A to the left along the x axis. A second long wire carries current 50.0 A to the right along the line (y = 0.280 m, z = 0). (a) Where in the plane of the two wires is the total magnetic field equal to zero? (b) A particle with a charge of 2.00 C is moving with a velocity of 150iMm/s along the line (y = 0.100 m, z = 0). Calculate the vector magnetic force acting on the particle. (c) What If? A uniform electric field is applied to allow this particle to pass through this region undetected. Calculate the required vector electric field.arrow_forwardWhat magnetic field is required in order to confine a proton moving with a speed of 4.0 × 106 m/s to a circular orbit of radius 10 cm?arrow_forward
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