Physics

Problem

Four point charges are fixed at the corners of a rectangle of length

8\,\text{cm}

and breadth

6\,\text{cm}

as follows:

+3\,\mu\text{C}

(0,0)

-3\,\mu\text{C}

(8\,\text{cm},0)

+3\,\mu\text{C}

(8\,\text{cm},-6\,\text{cm})

and

-3\,\mu\text{C}

(0,-6\,\text{cm})

. A

+2\,\mu\text{C}

charge is placed at the centre of the rectangle. a. (a) Calculate the

x

-component of the net force on the central charge. b. (b) Calculate the

y

-component of the net force on the central charge. c. (c) Hence find the magnitude and direction of the net force acting on the central charge.