Motion of Charge in Electric and Magnetic Fields
Consider the situation of two particles which have equal but opposite charges, +Q and -Q. The particles have identical mass. Discuss the following situations in terms of their motion and the work done on them by the relevant field. Where relevant, also provide a short discussion of the implications of these effects on the properties of the charged particles. If necessary, include diagrams to illuminate your solution.
(a) For the positive charge, the charge is stationary, and it is placed in a uniform electric field directed to the right (the +x-direction).
(b) For the positive charge, the charge is moving upwards (the +y-direction), and it is placed in a uniform electric field directed to the right (the +x-direction).
(c) For the negative charge, the charge is initially stationary and it is placed in a uniform magnetic field directed to the right (the +x-direction).
(d) For the positive charge, the charge is moving upwards (in the +y-direction) at constant velocity, and it is placed in a uniform magnetic field directed to the right (the +x-direction).
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