A5.5-µc point charge is located at x = 0.9 m, y = 3.4 m, and a -3.6-µc point charge is located at x = 2.3 m, y = -1.9 m.
(a) find the magnitude and direction of the electric field at x = -2.9 m, y = 1.2 m.
magnitude kn/c:
direction °:
(b) find the magnitude and direction of the force on a proton at x = -2.9 m, y = 1.2 m.
magnitude n :
direction ° :

The electric field magnitude= 2.27kN/C direction=

The force is direction=

Explanation:

Here we have an array of charged points, we have to calculate the net force in the point x=-2.9m and y=1.2m; so we need have to find the distance of all the charged point from this position.

to obtain the distance we have to do this:

fot the charge of 5.5uC

θ

and for the charge of -3.6uC

θ

Now that we have the distance and the angle, we can calculate the electric field; ausuming a positive charge:

The net force in X direction:

the net force in Y direction:

So the magnitud of the electric field is:

with a direction of:

θ, because is going down and to the left, we have to add 180, so the direction is=

to obtain the force of a proton we only have to multiply the Electric field times the charge of the proton, that is:

As we calculated the electric field assuming that the charge was a positive, the direction of the force will be the same.

An  atom  (ours, not carroll's) consists of a positively charged  nucleus, surrounded by one or more negatively charged particles called  electrons. the positive charges equal the negative charges, so the atom has no overall charge; it is electrically neutral. most of an atom's mass is in its nucleus; the mass of an electron is only 1/1836 the mass of the lightest nucleus, that of hydrogen. although the nucleus is heavy, it is quite small compared with the overall size of an atom. the radius of a typical atom is around 0.1 to 0.25 nanometres (nm), whereas the radius of a nucleus is about 10-6  nm.  *  if an atom were enlarged to the size of the earth, its nucleus would be only 200 feet in diameter and could easily rest inside a small football stadium.read more on -

The answer is d, you can easily test a theory! hope i you : )