Apoint charge is at the origin. with this point charge as the source point, what is the unit vector r^ in the direction of (a) the field point at x = 0 , y = -1.35m; (b) the field point at x = 12.0cm, y = 12.0cm; (c) the field point at x = - 1.10m, y = 2.60m? express your results in terms of the unit vectors i^ and j^. you may want to review (pages 695 - 699) . for related problem-solving tips and strategies, you may want to view a video tutor solution of electric-field vector for a point charge.

Explanation:

Using Coulomb's Law we know that the electric field E at point is:

where   is the Coulomb's Constant, q is the source charge, d is the distance between point and position of the source point charge, and is the position of the source point charge.

Taking all this in consideration, the unit vector clearly is:

For our problem, , as the charge is located at the origin.

So

and d will be the magnitude of

Now, we can take the values for each point.

and, the magnitude of the vector is

So, the unit vector is:

and, the magnitude of the vector is

So, the unit vector is:

and, the magnitude of the vector is

So, the unit vector is:

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