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2. (parts (a)-(d): 4 pts) Suppose that you want a moving charged particle to exp

ID: 1779364 • Letter: 2

Question

2. (parts (a)-(d): 4 pts) Suppose that you want a moving charged particle to experience zero net force G. continue moving at a constant velocity) while inside a unifom magnetic ficld. To accomplish this, you can superimpose a uniform electric field in the same region of space as the magnetic field. Ugnore gravity For each case shown below, balance the net force on the particle shown by superimposing a uniform electric field in the same region of space as the provided uniform magnetic field, or vice versa (as requested in each part) DRAW the necessary E-field or B-field lines on cach diagram. (Use comentional symbols to denote into page or out-of page field lines tothe right, tothe left, toward top of page, toward bottom of page, inpage- out of page a. draw needed clectric field b. draw eeded marnctic field: xxxX xxxXx xxxxXx xxXX xxxXXx xxXXx xxxXx e. draw needed magnctic field d. draw needed clectric field CI He" e.(3pts.) Choosing any one of the above cases, suppose that v=3.3 x 10' ms and B-8500G, Find the magnitude of the electric field so that the particle's path continues onward in a straight line. Show your work

Explanation / Answer

Charge q under electric field E will experience force =qE

charge q moving with a velocity v under magnetic field B will experience force =qvB

As net force=0, so qE=qvB

so E= vB

a. in this case electric field is towards right

b.in this case magnetic field is towards bottom of the page ( as charge is -ve)

c. in this case magnetic field is into the page

d.in this case electric field is out of the page

e.particles path continues in a straight line means net force =0

Given :

v= 3.3 x 102 m/s

B= 85G =85 x 10-4

so E = vxB = 330 x 85 x 10-4= 2.8050 N/C

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