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Electrostatics

1) A charge +2q is placed at the origin and a second charge -q is placed at x = 3.0 cm. Where can a third charge +Q be placed so that it experiences a zero force?

2) A charge of -4.00 micro C is fixed in place. From horizontal distance of 55.0 cm, a particle of mass 2.50*10^-3kg and charge -3.00 micro C is fired with initial speed of 15.0 m/s directly toward the fixed charge. How far does the particle travel before it stops and begins to return back?

3) In the figure, find the magnitude and direction of the electric field at the points A, B, C and D.

4) In question 3), calculate the work done needed to move a 1.5 micro C test charge from point B to D.

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