A charge q1 = +5.00 nC is placed at the origin of an xy-coordinate system, and a charge q2 = -2.00 nC is placed on the positive x-axis at x = 4.00 cm. (a) If a third charge q3 = +6.00 nC is now placed at the point x = 4.00 cm, y = 3.00 cm, find the x- and y-components of the total force exerted on this charge by the other two. (b) Find the magnitude and direction of this force

a

The  x- and y-components of the total force exerted is

b

 The magnitude of the force is  

   The direction of the force is  

            Clockwise from x-axis

Explanation:

From the question we are told that

    The magnitude of the first charge is

      The magnitude of the second charge is

        The position of the second charge  from the first one is  

        The  magnitude of the third charge is

       The position of the third charge from the first one is  

        The position of the third charge from the second  one is

The force acting on the third charge due to the first and second charge is mathematically represented as

 Substituting values

The magnitude of      is mathematically evaluated as

The direction is obtained as