Physics

Problem

A point charge

q_1=+6\,\mu\text{C}

is fixed at the point

(4\,\text{cm},\;3\,\text{cm})

on the

xy

-plane. A second point charge

q_2=-4\,\mu\text{C}

is fixed at

(-2\,\text{cm},\;1\,\text{cm})

. (a) Find the displacement vector

\vec r_{21}

from

q_2

q_1

and write the corresponding unit vector

\hat r_{21}

. (b) Calculate the electrostatic force vector

\vec F_{21}

exerted by

q_1

q_2

in unit-vector notation. (c) Determine the magnitude of this force and the angle it makes with the positive

x

-axis.