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Moving electric charges produce magnetic fields, B B measured in Tesla (1T = 10 4 Gauss)

Moving electric charges produce magnetic fields, B B measured in Tesla (1T = 10 4 Gauss) Earth’s B field ~ 0.5 Gauss Largest permanent magnet ~ few T Largest man-made magnet ~ 20 T 2. Magnetic fields exert forces on moving electric charges. Magnetic Force. F = qvB if v ┴ B

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Moving electric charges produce magnetic fields, B B measured in Tesla (1T = 10 4 Gauss)

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  1. Moving electric charges produce magnetic fields, B B measured in Tesla (1T = 104 Gauss) Earth’s B field ~ 0.5 Gauss Largest permanent magnet ~ few T Largest man-made magnet ~ 20 T 2. Magnetic fields exert forces on moving electric charges

  2. Magnetic Force • F = qvB if v ┴ B • F = 0 if v ║ B • F = qvB sinq, if v makes angle q with B • Right hand rule for direction • In case where v ┴ B, the trajectory is a circle • In general, the trajectory is a helix

  3. Group Problem • Suppose a proton has a velocity v = 106 m/s to the right perpendicular to a uniform magnetic field B = 2 T (take B directed up out of the paper ). • What is the force on the proton? (magnitude and direction ) • What will be the path of the proton? • Find the radius of the circular orbit of the proton

  4. Forces & Torques on a Current Loop In general, t = mB sinq, where q is the angle between m (perpendicular to the area) and B

  5. Group Problem • A long straight wire lies along the x-axis and has a constant current of 3A in the + direction. • Find B at a point 2m from the wire • Find B at a point 1.5 m from the wire in the opposite direction from (a) • Find the force on an electron located at the point in (a) and moving with a velocity of 3 m/s perpendicularly away from the wire. • Find the force/length on a second long straight wire lying parallel to the first 3 m away and having a current of 2A in the opposite (-) direction

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