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Electrostatic Forces and Movement of Charged Particles

Please show all work and diagrams plus equations used to solve problem. Thanks!

1) Particles 1, with charge q1 and 2, with a charge q2 are on the x axis, with particle 1 at x = a with and particle 2 at x=-2a. For the net force on a third charges particle, at the origin to be zero q1 and q2 must be related by q2=:
(answer B, but explain)
a) 2q1
b) 4q1
c) -2q1
d) -4q1
e) -q1/4

2) A particle with charge Q is on the y axis a distance a from the origin and a particle with charge q is on the x axis a distance d from the origin. The value of d for which the x component of the force on the second particle is the greatest is:
(e is answer - why)
a) 0
b) a
c) SQRT 2a
d) a/2
e) a/ SQRT 2

Solution Summary

The solution provides step-by-step calculations with diagrams for questions involving the concepts of electrostatic forces between charged particles.