Question

Uniform electric field exist in x-y plane the potential of points a(2,2) b (-2,2) and c(2,4) are 4v 16v 12v respectively find electric field

Answer 1

Answer:

ANSWER IS BELOW:-

Explanation:

Let equation of potential be ax+by+c where (x,y) are the co-ordinates of the point in x,y plane.

so, a(2)+b(2)+c=4

a(−2)+b(2)+c=16

a(2)+b(4)+c=12

Solving above equations, we get a=−3;b=4;c=2

so equation of potential is V=−3x+4y+2

Now the electric field is

E

=(−dV/dx)

i

+(−dV/dy)

j

=3

i

−4

j