6. Refer to Figure 3 where the values of the electric charges, Quez and their ma

Question

6. Refer to Figure 3 where the values of the electric charges, Quez and their masses mi, m and my and velocity gs quantities. vectors, i, i, and v and the magnetic field, B are known a. Determine the value of the magnetic force acting each charge and indicate their b. direction in the figure below, when on What is the geometric trajectory appropriate. charge field (6/91)? the case(s) electric that is c For appropriate, find in the of the path each charge in terms of the radius my, Q3, v2, and angle given parameters, i.e., m1, m2, (9/100) Figure 3. Solution: Charge Q3 Charge 02 Charge Item

Explanation / Answer

6.(A) F = q ( v x B) = q v B sin(theta)

F1 = (Q1) (v1) (B) sin0 = 0

F2 = (Q2)(v2) (B) sin90 = Q2 v2 B into the page

F3 = (Q3) (v3) B sin(theta) = Q3 v3 B sin(theta) out of page

(B) Q1 -> straight line

Q2 -> circular path

Q3 - > helical path

(C) F = m v^2 / r

r = F / m v^2

r2 = Q2 v2 B / (m2 v2^2) = Q2 B / m2 v2

r2 = Q3 B / m3 v2 sin(theta)

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