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ORANGE COUNTRY GO COWBOYS PHYS 2114 LECTURE 14 Instructor: Professor Donna Bandy ORANGE COUNTRY GO COWBOYS Problem A cosmic-ray proton in interstellar space has energy of 10.0MeV and executes a circular orbit having a radius equal to that of Mercury’s orbit around the Sun (5.80x1010m). Calculate the magnetic field in that region of space. 1 ORANGE COUNTRY GO COWBOYS PHYS 2114 ORANGE COUNTRY GO COWBOYS LECTURE 14 Instructor: Professor Donna Bandy Magnetic Flux: Problem In the figure below is an edge view of a 10-cm-diameter circular loop rotating in a uniform 0.050T magnetic field. Calculate the magnetic flux through the loop when is 0o, 30o, 60o, and 90o. B-field A edge view A Circular Loop Absence of magnetic monopoles: One of Maxwell’s Equations: The net magnetic flux through any closed surface is always zero. 2 ORANGE COUNTRY GO COWBOYS PHYS 2114 ORANGE COUNTRY GO COWBOYS LECTURE 14 Instructor: Professor Donna Bandy Magnetic Dipoles, Monopoles, and Torque on a Magnetic Dipole Magnetic dipole moment Electric dipole Torque on a on a current loop Torque on Electric Dipole Energy of a magnetic dipole Energy of a electric dipole 3 ORANGE COUNTRY GO COWBOYS PHYS 2114 LECTURE 14 Instructor: Professor Donna Bandy ORANGE COUNTRY GO COWBOYS 4 ORANGE COUNTRY GO COWBOYS PHYS 2114 LECTURE 14 Instructor: Professor Donna Bandy ORANGE COUNTRY GO COWBOYS Torque on a current loop in a uniform magnetic field 5 ORANGE COUNTRY GO COWBOYS PHYS 2114 LECTURE 14 Instructor: Professor Donna Bandy ORANGE COUNTRY GO COWBOYS Problem In a long, straight, vertical lightning stroke, electrons move downward and positive ions move upward and constitute a current of magnitude 20.0 kA. At a location 50.0 m east of the middle of the stroke, a free electron drifts through the air toward the west with a speed of 300 m/s. a. Sketch showing the various vectors involved. Ignore the Earth’s magnetic field. b. Find the vector force the lightning stroke exerts on the electron. c. Find the radius of the electron’s path. d. Is it a good approximation to model the electron as moving in a uniform field? e. If it does not collide with any obstacles, how many revolutions will the electron complete during the 60.0 s duration of the lightning stroke? 6 ORANGE COUNTRY GO COWBOYS PHYS 2114 LECTURE 14 Instructor: Professor Donna Bandy ORANGE COUNTRY GO COWBOYS 7