Physic 1520 John Kufta hw, Lecture notes of Physics

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Discussion Question 14_ 2 Lorentz Force Physics 1520 Name __ foi Hoon bom The figure below depicts a region of space (shaded) where there is a constant magnetic field, B= 1.2 T, directed along the negative z axis (into the page). The magnetic field region extends infinitely far in the positive and negative y directions, but is constrained to the region between x=Qandx=1m. A proton travels along the x axis toward this region, with initial speed Vo. proton: m= 1.67 x 10?’ kg q=e=1.6x10"%C Vo=2x 10° m/s (a) What is the radius of curvature of the proton's path after it enters the magnetic field region? To describe the particle's circular path, match the Lorentz force exerted by the B field to the centripetal force. 2 aye rales qv & = + — (> = '14m (b) At what x and y positions will the proton leave the magnetic field region? Sketch the proton's path on the figure, and use your knowledge of the radius of curvature. ——_— el.