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# Electric and Magnetic Fields Extra Drill Problems for AP Physics B & C

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Practice problems and tests cannot possibly cover every situation that you may be asked to understand in physics.  However, some categories of topics come up again and again, so much so that they might be worth some extra review.  And that's exactly what these lessons are for - to give you a focused, intensive review of a few of the most essential physics topics.

Extra drill on difficult but frequently tested topics are:

We call them "drills" for a reason.  They are designed to be skill-building exercises and as such, they stress repetition and technique.  Working through these exercises might remind you of playing scales if you're a musician or of running laps around the field if you're an athlete.  Not much fun, maybe a little tedious, but very helpufl in the long run.

The questions in each drill are all solved essentially the same way.  Don't just do one problem after the other.....rather, do a couple, check to see that your answers are right, and then half an hour or a few days later, do a few more, just to remind yourself of the techniques involved.

Below are electric and magnetic fields problems.

### How to Do It

The force of an electric field is F = qE, and the direction of the force is in the direction of the field for a positive charge. The force of a magnetic field is F = qvB sinθ, and the direction of the force is given by the right-hand rule.

### The Drill

The magnetic field above has magnitude 3.0 T. For each of the following particles placed in the field, find (a) the force exerted by the magnetic field on the particle, and (b) the acceleration of the particle. Be sure to give magnitude and direction in each case.

1. an e- at rest
2. an e- moving ↑ at 2 m/s
3. an e- moving ← at 2 m/s
4. a proton moving at 2 m/s
5. an e- moving up and to the right, at an angle of 30° to the horizontal, at 2 m/s
6. an e- moving up and to the left, at an angle of 30° to the horizontal, at 2 m/s
7. a positron moving up and to the right, at an angle of 30° to the horizontal, at 2 m/s
8. an e- moving → at 2 m/s
9. a proton moving ⊗ at 2 m/s

The electric field above has magnitude 3.0 N/C. For each of the following particles placed in the field, find (a) the force exerted by the electric field on the particle, and (b) the acceleration of the particle. Be sure to give magnitude and direction in each case.

1. an e- at rest
2. a proton at rest
3. a positron at rest
4. an e- moving ↑ at 2 m/s
5. an e- moving → at 2 m/s
6. a proton moving at 2 m/s
7. an e- moving ← at 2 m/s
8. a positron moving up and to the right, at an angle of 30° to the horizontal, at 2 m/s

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