1. An electron (qe = -1.6 x 10-19C and me = 9.1 x 10-31kg ) is moving with a velocity i = (-2.7 x 105m/s)î in a uniform magnetic field. The direction of the magnetic field is shown in the coordinate system below and its magnitude is 0.32 T. a. Please determine the direction and the magnitude of the magnetic force on the electron. b. If you need to impose an electric field in the area so that the net force on the electron is zero, please determine the direction and the magnitude of the electric field. c. If the gravitational field is in the negative y direction here, do we need to consider the effect of the force of gravity for part b? Please briefly explain your reason. y . 50°

1. An electron (qe = -1.6 x 10-19C and me = 9.1 x 10-31kg ) is moving with a velocity i = (-2.7 x 105m/s)î in a uniform magnetic field. The direction of the magnetic field is shown in the coordinate system below and its magnitude is 0.32 T. a. Please determine the direction and the magnitude of the magnetic force on the electron. b. If you need to impose an electric field in the area so that the net force on the electron is zero, please determine the direction and the magnitude of the electric field. c. If the gravitational field is in the negative y direction here, do we need to consider the effect of the force of gravity for part b? Please briefly explain your reason. y . 50°

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter22: Magnetic Forces And Magnetic Fields

Section: Chapter Questions

Problem 48P: A packed bundle of 100 long, straight, insulated wires forms a cylinder of radius R = 0.500 cm. If...

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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?
(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.
Unreasonable results A charged particle having mass 6.641027kg (that of a helium atom) moving at 8.70105m/s perpendicular to a 1.50-T magnetic field travels in a circular path of radius 16.0 mm. (a) What is the charge of the particle? (b) What is unreasonable about this result? (c) Which assumptions are responsible?
(a) What is the angle between a wire carrying an 8.00-A current and the 1.20-T field it is in if 50.0 cm of the wire experiences a magnetic force of 2.40 N? (b) What is the force on the wire if it is rotated to make an angle of 90° with the field?
A toroid with an inner radius of 20 cm and an outer radius of 22 cm is tightly wound with one layer of wire that has a diameter of 0.25 mm. (a) How many turns are there on the toroid? (b) If the current through the toroid windings is 2.0 A, what is the strength of the magnetic field at the center of the toroid?
(a)What is the angle between a wire carrying an 8.00-A current and the 1.20-T field It Is in if 50.0 cm of the wire experiences a magnetic force of 2.40 N? (b) What is the force on the wire If It Is rotated to make an angle of 90° with the field?
(a) Find the direction of the force on a proton (a positively charged particle) moving through the magnetic fields in Figure P19.2, as shown. (b) Repeat part (a), assuming the moving particle is an electron. Figure P19.2 Problems 2 and 22.
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A 0.50-kg copper sheet drops through a uniform horizontal magnetic field of 1.5 T, and it reaches a terminal velocity of 2.0 m's. (a) What is the net map,-, eh: force on the sheet after it reaches terminal velocity? (b) Describe the mechanism responsible for this force, (c) How much power is dissipated as Joule heating while the sheet moves at terminal velocity?
One 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.
A packed bundle of 100 long, straight, insulated wires forms a cylinder of radius R = 0.500 cm. If each wire carries 2.00 A, what are (a) the magnitude and (b) the direction of the magnetic force per unit length acting on a wire located 0.200 cm from the center of the bundle? (c) What If? Would a wire on the outer edge of the bundle experience a force greater or smaller than the value calculated in parts (a) and (b)? Give a qualitative argument for your answer.
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