Physics

Problem

In a certain region of space the electric potential is given by

V(x,y)= (200\,\text{V/m})\,x + (150\,\text{V/m})\,y

, where

x

and

y

are in meters. A

0.50\,\mu\text{C}

test charge is moved directly from the origin

(0,0)

to the point

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

. What is the work done by the electric field during this displacement? a)

+60\,\mu\text{J}

-62.5\,\mu\text{J}

-60\,\mu\text{J}

-30\,\mu\text{J}