AP Free Response Question
2009 Form B  B2
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Three particles are arranged on coordinate axes as shown above. Particle A has charge q
_{A}
=

0.20 nC , and is initially on the yaxis at y = 0.030 m. The other two particles each have charge q
_{B}
= +0.30 nC and are held fixed on the xaxis at x =

0.040 meters and x = +0.040 meters, respectively.
(a) Calculate the magnitude of the net electric force on particle A when it is at y = 0.030 m, and state its direction.
(b) Particle A is then released from rest. Qualitatively describe its motion over a long time.
In another experiment, particle A of charge q
_{A}
=

0.20 nC is injected into a uniform magnetic field of strength 0.50 T directed into the page, as shown below, entering the field with speed 6000 m/s.
(c) On the diagram above, sketch a complete path of particle A as it moves in the magnetic field.
(d) Calculate the magnitude of the force the magnetic field exerts on particle A as it enters the magnetic field.
(e) An electric field can be applied to keep particle A moving in a straight line through the magnetic field. Calculate the magnitude of this electric field and state its direction.
Topic Formulas
Description
Published Formula
capacitance
Coulomb's Law
elastic potential energy
electric field
electric potential energy
energy stored in a capacitor
Faraday's Law
kinetic energy
magnetic field around a currentcarrying wire
magnetic flux
magnetic force on a currentcarrying wire
magnetic force on a moving charge
parallelplate capacitor
potential and electric field strength
potential due to a collection of point charges
potential energy
power
power
work
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