(Solved): Consider a charge of \( +2 \mathrm{nC} \) (nanocoulombs, or Coulombs \( \times 10^{-9} \) ) at \( ( ...

Consider a charge of \( +2 \mathrm{nC} \) (nanocoulombs, or Coulombs \( \times 10^{-9} \) ) at \( (1,0) \mathrm{cm} \), and a charge of \( -3 \mathrm{nC} \) at \( (0,2) \mathrm{cm} \). Calculate the electric field strength at the origin. Remember that it is a 2 dimensional vector, and calculate the vector components. (A solution can either state the \( x \) and \( y \) components, or state an angle and a magnitude; both are valid ways to describe a vector.) 2. Draw a set of cartesian \( (x-y) \) axes, and then place charges of strength \( +1 \) at the points \( (1,0) \) and \( (-1,0) \), and charges of strength \( -1 \) at the points \( (0,1) \) and \( (0,-1) \). (Units are not important for this problem.) Determine what the field lines would look like for this configuration of charges, using symmetry arguments, and draw a rough picture of the field lines, with arrows showing the field direction. Remember that field lines flow from positive to negative. No calculations are needed for this problem, and artistic skill is not required, just draw the right ideas about the field. Please draw more than a couple of field lines, but you don't need to draw an excessive number of them.