Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 28, Problem 26P
Consider 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 P28.26
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Chapter 28 Solutions
Physics for Scientists and Engineers
Ch. 28.1 - An electron moves in the plane of this paper...Ch. 28.2 - Prob. 28.2QQCh. 28.4 - A wire carries current in the plane of this paper...Ch. 28.5 - (i) Rank the magnitudes of the torques acting on...Ch. 28 - At the equator, near the surface of the Earth, the...Ch. 28 - Consider an electron near the Earths equator. In...Ch. 28 - Find the direction of the magnetic field acting on...Ch. 28 - A proton moving at 4.00 106 m/s through a...Ch. 28 - A proton travels with a speed of 5.02 106 m/s in...Ch. 28 - A laboratory electromagnet produces a magnetic...
Ch. 28 - A proton moves perpendicular to a uniform magnetic...Ch. 28 - An accelerating voltage of 2.50103 V is applied to...Ch. 28 - A proton (charge + e, mass mp), a deuteron (charge...Ch. 28 - Review. A 30.0-g metal hall having net charge Q =...Ch. 28 - Review. One electron collides elastically with a...Ch. 28 - Review. One electron collides elastically with a...Ch. 28 - Review. An electron moves in a circular path...Ch. 28 - A cyclotron designed to accelerate protons has a...Ch. 28 - Prob. 15PCh. 28 - Singly charged uranium-238 ions are accelerated...Ch. 28 - A cyclotron (Fig. 28.16) designed to accelerate...Ch. 28 - A particle in the cyclotron shown in Figure 28.16a...Ch. 28 - Prob. 19PCh. 28 - A straight wire earning a 3.00-A current is placed...Ch. 28 - A wire carries a steady current of 2.40 A. A...Ch. 28 - Why is the following situation impossible? Imagine...Ch. 28 - Review. A rod of mass 0.720 kg and radius 6.00 cm...Ch. 28 - Review. A rod of mass m and radius R rests on two...Ch. 28 - A wire having a mass per unit length of 0.500 g/cm...Ch. 28 - Consider the system pictured in Figure P28.26. A...Ch. 28 - A strong magnet is placed under a horizontal...Ch. 28 - In Figure P28.28, the cube is 40.0 cm on each...Ch. 28 - A magnetized sewing needle has a magnetic moment...Ch. 28 - A 50.0-turn circular coil of radius 5.00 cm can be...Ch. 28 - You are in charge of planning a physics magic show...Ch. 28 - You are working in your dream job: an assistant...Ch. 28 - A rectangular coil consists of N = 100 closely...Ch. 28 - A rectangular loop of wire has dimensions 0.500 m...Ch. 28 - A wire is formed into a circle having a diameter...Ch. 28 - A Hall-effect probe operates with a 120-mA...Ch. 28 - Prob. 37APCh. 28 - Figure 28.11 shows a charged particle traveling in...Ch. 28 - Within a cylindrical region of space of radius 100...Ch. 28 - Prob. 40APCh. 28 - Prob. 41APCh. 28 - (a) A proton moving with velocity v=ii experiences...Ch. 28 - A proton having an initial velocity of 20.0iMm/s...Ch. 28 - You have been called in as an expert witness in a...Ch. 28 - Prob. 45APCh. 28 - Why is the following situation impossible? Figure...Ch. 28 - A heart surgeon monitors the flow rate of blood...Ch. 28 - Review. (a) Show that a magnetic dipole in a...Ch. 28 - Consider an electron orbiting a proton and...Ch. 28 - Protons having a kinetic energy of 5.00 MeV (1 eV...Ch. 28 - Review. A wire having a linear mass density of...
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- Why 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_forwardA circular coil 15.0 cm in radius and composed of 145 tightly wound turns carries a current of 2.50 A in the counterclockwise direction, where the plane of the coil makes an angle of 15.0 with the y axis (Fig. P30.73). The coil is free to rotate about the z axis and is placed in a region with a uniform magnetic field given by B=1.35jT. a. What is the magnitude of the magnetic torque on the coil? b. In what direction will the coil rotate? FIGURE P30.73arrow_forwardA 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_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 wire is bent in the form of a square loop with sides of length L (Fig. P30.24). If a steady current I flows in the loop, determine the magnitude of the magnetic field at point P in the center of the square. FIGURE P30.24arrow_forwardSolenoid A has length L and N turns, solenoid B has length 2L and N turns, and solenoid C has length L/2 and 2N turns. If each solenoid carries the same current, rank the magnitudes of the magnetic fields in the centers of the solenoids from largest to smallest.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_forwardA long, straight wire carries a current I (Fig. OQ22.10). Which of the following statements is true regarding the magnetic field due to the wire? More than one statement may be correct. (a) The magnitude is proportional to I/r, and the direction is out of the page at P. (b) The magnitude is proportional to I/r2, and the direction is out of the page at P. (c) The magnitude is proportional to I/r, and the direction is into the page at P. (d) The magnitude is proportional to I/r2, and the direction is into the page at P. (e) The magnitude is proportional to I, but does not depend on r. Figure OQ22.10arrow_forwardA wire carrying a current I is bent into the shape of an exponential spiral, r = e, from = 0 to = 2 as suggested in Figure P29.47. To complete a loop, the ends of the spiral are connected by a straight wire along the x axis. (a) The angle between a radial line and its tangent line at any point on a curve r = f() is related to the function by tan=rdr/d Use this fact to show that = /4. (b) Find the magnetic field at the origin. Figure P29.47arrow_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_forwardThe triangular loop of wire shown in Figure P30.62 carries a current of 0.125 A, and a uniform magnetic field of 0.250 T points toward the right. Determine the force on each segment of the wire (indicate magnitude and direction) and the net force on the triangular loop.arrow_forwardAn infinitely long wire carrying a current I is bent at a right angle as shown in Figure P22.30. Determine the magnetic field at point P, located a distance x from the corner of the wire. Figure P22.30arrow_forward
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