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A proton is moving with velocity 1.0x107 m/s through a uniform magnetic field B = 0.5 T in the +x-direction. What is the strength and direction of the force on the proton? Week 9 1 A proton is moving with velocity 1.0x107 m/s through a uniform magnetic field B = 0.5 T in the +x-direction. What is the strength and direction of the force on the proton? Week 9 2 A positive ion is shot between the plates of a parallel plate capacitor. • In which direction is the electric force on the particle? • Could a magnetic field be used to counter this force? If so, in which direction would the magnetic field need to be directed? Week 9 3 Week 9 4 In a high-energy physics experiment, a neutral particle enters a bubble chamber in which a magnetic field points into the page. The neutral particle undergoes a collision, creating two charged particles. The subsequent trajectories are shown. • What are the signs of particles 1 and 2? • Which charged particle leaves the collision with more momentum? Week 9 5 Week 9 6 Week 9 7 Week 9 8 Draw vectors on Wire 1 showing the direction of the force felt by Wire 1 from Wire 2. Draw vectors on Wire 1 showing the direction of the force felt by Wire 1 from Wire 2. Will the two wires be attracted or repulsed? Week 9 9 Will the two wires shown below be attracted or repulsed? Week 9 10 Below are three current loops situated on the yaxis. Will loops 1 and 2 be attracted or repulsed? Will loops 2 and 3 be attracted or repulsed? I I Loop 1 Week 9 Loop 2 I Loop 3 11 Week 9 12 A square loop of current is placed in a magnetic field. Does the loop undergo displacement? If so, is it up, down, left or right? Does the loop undergo rotation? If so, which way does it rotate? B I II I I Week 9 13 Week 9 14 The dots and x’s in the figures below show the directions of magnetic fields. In each of the cases below, which way will current flow in the loop? Week 9 15 A loop of copper wire is being pulled from between two magnetic poles. •Which direction will the current induced in the loop flow? •Does either side of the loop experience a magnetic force? •Which way will the magnetic field pull on the loop? S Fpull Fpull S N side view Week 9 top view 16 •Which side of the loop will be a magnetic north pole? •Are the magnetic poles of the loop attracted to or repelled by the permanent magnet? S Fpull Fpull S N side view Week 9 top view 17 Week 9 18 Below are 5 loops in different magnetic fields. Rank them in order by magnetic flux. 2 1 2 B=1 2 1 B=2 Loop 1 1 Loop 2 1 B=1 Loop 3 1 B=0 2 Week 9 2 B=2 B=2 Loop 4 Loop 5 19 Below are 5 loops in the same magnetic field. Rank them in order by magnetic flux. B Loop 2 r=1 45o 45o Loop 4 r=2 Loop 1 r=1 Week 9 Loop 3 r=2 20 Week 9 21 In each case, which direction does the current induced in the wire flow? Week 9 Steady B Increasing B Decreasing B dB 0 dt dB dt dB dt 22 A magnet passes in front of a loop of wire, with the north side of the magnet facing the loop. Graph how the current’s magnitude and direction change with time. Take CCW flowing current to be positive. v magnet I Week 9 time 23 Week 9 24 Week 9 25