1) Three charged particles are arranged as shown below. Using the coordinate system shown the particle with charge -2q is at position (-a, 0) and the two particles With charge +q are at positions (0,a) and (0,-a) respectively,

a) In temis of x, a and q derive a formula for the electric field vector for points along the positive x axis, Express your answer using unit vector notation.

b) Where on the positive x axis (including x = 0) will the field magnitude be the greatest° in which direction will the field vector point when the magnitude is at its maximum? Explain how you know.

c) imagine that the particle with charge -2q is moved to the origin of the coordinate system and the two positively charged particles remain in place.

Derive a formula kg the electric field vector for points along the positive y axis for y>a in terns of y a and q.

Use unit vector notation.

2) The polar molecule in the diagram below has a positive charge of + 19e at one end and a negative charge of -19e at the other. It is immersed in a nonuniform electric field (and aligned with the field direction). The magnitude of the field is 4.6 x 10⁷ N/C at the negative end of the molecule and dmps: by 3% at the positive end.

a) Determine the net force that acts on the molecule (calculate the maiznititide and describe the direction).