Physics

Problem

A charge of

-8.0\,\text{nC}

is placed at the origin of an

x

–

y

coordinate system in air. Point

P

has coordinates

(0.30\,\text{m},\,0.40\,\text{m})

. Take

k = 9.0\times10^{9}\,\text{N m}^2\text{C}^{-2}

. a. (i) Determine the

x

-component

E_x

and the

y

-component

E_y

of the electric field at point

P

. b. (ii) Using your results from part (i), find the magnitude

E

of the electric field at

P

and the angle it makes with the positive

x

-axis. c. (iii) Express the magnitude obtained in part (ii) in scientific notation, including appropriate SI units.