Question $4-$ Information

Two positive charges with a charge of $9{10}^{-9}C$ each are lined up as is shown in the diagram. Assume all distances are in meters.

Question $4-$ Part A

Without doing a calculation, explain why the magnitude of the electric field at $(0,2)$ must be zero.

Question $4-$ Part B

Calculate the magnitude and direction of the net electric field at $(0,-4).$

Question $4-$ Part C

Without doing a calculation, explain whether you should or should not expect the magnitude and direction of the net electric field to differ if you were to calculate it at $(0,8)$ instead of $(0,-4).$

Question $4-$ Part D

Calculate the magnitude and direction of net electric field at $(2,2).$

Question $4-$ Part E

Calculate the magnitude and direction of net electric field at $(-2,-2).$