Question

The gravitational field in a region is E=(2i+3j)Nkg^(-1) .The equation for potential line is a) 2x+3y=0 b) 2y+3x=c (c) x+2y=c (d) 1.5x+2y=0

Answer 1

Given:

The electric field of the region is E= 2i+3j

To find:

The equation of potential line.

Solution:

The formula related to the electric field and potential line

E=-ΔV

As

dV=ΔV.dr

dV=(2i+3j).(dx i+dx j+dy k)

After the dot product.

dV=2dx+3dy

We can write is as

V=-(2x+3y+c)

Or

2x+3y=c

So the option C is correct