A particle of charge enters point of a rectangular region that is divided into two…
PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Magnetism and Electromagnetism · Magnetism and Electromagnetism
Problem
A particle of charge +q enters point A of a rectangular region that is divided into two equal halves, Region I and Region II, each of width d. In Region I, a uniform magnetic field of magnitude B points out of the page (+z–direction). In Region II, the field has the same magnitude but points toward the right (+x–direction). The particle’s initial velocity at point A is due north (+y–direction) with speed v. Air resistance and gravity are negligible.
(a) Determine the direction of the magnetic force acting on the particle while it is in Region I.
(b) Sketch or clearly describe the qualitative path of the particle within Region I, indicating any curvature.
(c) As the particle crosses into Region II at point C, determine the new direction of the magnetic force on the particle immediately after it enters Region II.
(d) Using your answers to parts (a)–(c), draw or describe the complete qualitative trajectory of the particle from point A until it exits Region II at point D. Provide reasoning that connects the force directions in each region to the shape of the path.