Suppose you want to determine the electric field in a certain region of space. You have a small object of known charge and an instrument that measures the magnitude and direction of the force exerted on the object by the electric field.$($a$)$ The object has a charge of $+35\mathrm{.}0$ C and the instrument indicates that the electric force exerted on it is $25\mathrm{.}0$ N$,$ due east. What are the magnitude and direction of the electric field?E $=($b$)$ What are the magnitude and direction of the electric field if the object has a charge of $-15\mathrm{.}0$ C and the instrument indicates that the force is $40\mathrm{.}0$ N$,$ due west?E $=$