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Unformatted text preview: Chapters 29-30 Worksheet A proton (charge q = 1.60 x 10-19 C) travels at 3.0 x 10 6 m/s [E45U] through a 2.60 x 10-3 T magnetic field, experiencing a force of 6.0 x 10-16 N. 1) If the force on the proton acts toward the south, what is the direction of the magnetic field? [E74U] 2) If the force on the proton acts toward the north, what is the direction of the magnetic field? [E16U] A very large 0.5 mm wide metal plate is moving in a magnetic field B = 2 mT directed into the page, as shown at right. (If the plate is moving, the electrons in the plate are moving!) The potential at the top of the plate is 20 V. The absolute voltage between the top and the bottom of the plate is 15 V. 3) What is the potential at the bottom of the plate? 5 V 4) Recall how voltage is related to electric field. Pretend that the charges in the plate dont know that they are movingwhat electric field would they think is acting on them? (Your knee-jerk reaction is to say zero, but that requires the charges to be at rest.) 0.030 N/C [up] 5) What is the speed of the plate? 15.0 m/s A metal rod of mass m and length d rests on two fixed, frictionless, conducting rails, as seen from above in the diagram. Switch S is closed at time t = 0, causing the capacitor C to discharge current through the bottom rail, up through the rod, and then through the other rail back to the capacitor. The initial charge of the capacitor is q o , the wires have a combined resistance R , and they are immersed in a uniform magnetic field of strength B pointing downward (as shown). 6) What is the current in the circuit as a function of t, m, d, R, B, C , and q o ? t RC o q i e RC- = [clockwise] 7) What is the force on the rod as a function of t, m, d, R, B, C , and q o t RC o Bq d F e RC- = [left] 8) What is the velocity of the rod as a function of t, m, d, R, B, C , and q o ? ( 29 RC t e m d Bq v-- = 1 [left] A wire is bent into a 300 circular arc of radius 5 m, as shown at right. The straight sections of the wire are oriented parallel to the radius of the arc. The wire carries 2 A of current in the direction shown....
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