A particle with a charge of -8.0x10-18 C moves to the left at a speed of 4x103 m/s. It enters a region with a uniform E- and B-field. The E-field has a magnitude of 0.5 N/C and points vertically downward. As the particle enters the region of the E- and B-field, it continues moving to the left at a constant speed. No deflection is observed. Neglect the effects of the Earth's gravitational and magnetic field on the particle. Instructions In a neat and organized fashion, write out a solution which includes the following: 1. A sketch of the physical situation with all given physical quantities clearly labeled. 2. Draw a force diagram showing all of the forces exerted on the particle as it travels through the E- and B-fields. 3. Determine the magnitude and direction of the B-field. Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did and the thought process behind why you did that. 4. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in your evaluation.

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter23: Electric Fields
Section: Chapter Questions
Problem 23.90CP: A particle of mass m and charge q moves at high speed along the x axis. It is initially near x = ,...
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Problem Description
A particle with a charge of -8.0x10´18 C moves to the left at a speed of 4x10³ m/s. It enters a
region with a uniform E- and B-field. The E-field has a magnitude of 0.5 N/C and points vertically
downward. As the particle enters the region of the E- and B-field, it continues moving to the left
at a constant speed. No deflection is observed. Neglect the effects of the Earth's gravitational
and magnetic field on the particle.
Instructions
In a neat and organized fashion, write out a solution which includes the following:
1. A sketch of the physical situation with all given physical quantities clearly labeled.
2. Draw a force diagram showing all of the forces exerted on the particle as it travels through the
E- and B-fields.
3. Determine the magnitude and direction of the B-field. Clearly show all steps, starting from
generalized equations. Explain your mathematical work in words. Your explanation should
cover both what you did and the thought process behind why you did that.
4. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of
your answer (the numerical value, sign, and units) in your evaluation.
Transcribed Image Text:Problem Description A particle with a charge of -8.0x10´18 C moves to the left at a speed of 4x10³ m/s. It enters a region with a uniform E- and B-field. The E-field has a magnitude of 0.5 N/C and points vertically downward. As the particle enters the region of the E- and B-field, it continues moving to the left at a constant speed. No deflection is observed. Neglect the effects of the Earth's gravitational and magnetic field on the particle. Instructions In a neat and organized fashion, write out a solution which includes the following: 1. A sketch of the physical situation with all given physical quantities clearly labeled. 2. Draw a force diagram showing all of the forces exerted on the particle as it travels through the E- and B-fields. 3. Determine the magnitude and direction of the B-field. Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did and the thought process behind why you did that. 4. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in your evaluation.
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