Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Your lab assignment is to use positive charge Q to launch a proton, starting fro

ID: 2178880 • Letter: Y

Question

Your lab assignment is to use positive charge Q to launch a proton, starting from rest, so that it acquires the maximum possible speed. You can launch the proton from the surface of a sphere of positive charge Q and radius R, or from the center of a ring of charge Q and radius R, or from the center of a disk of charge Q and radius R. Which will you choose? -We will choose to launch the proton from the surface of a sphere of positive charge Q and radius R. -We will choose to launch the proton from the center of a ring of charge Q and radius R. -We will choose to launch the proton from the center of a disk of charge Q and radius R.

Explanation / Answer

field due to sphere is = kq/x x=gistance from centre of sphere
field due to ring =kqx/(x2+a2)3/2 where a=radius and x= axial distance from center of ring

field due to disc=2k(1-x/(x2+r2)1/2) where x= distance from center of disc , r=its radius

for sphere field will decrease continuously,for ring it will first increase then decrease and for disk it also decreases

so ring will the appropriate for accelerating the charged particle because more the field more is force and more will bw the acceleration