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

The required equation is 2x+3y=c

Explanation:

Given:

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

We know,

the formula related to the electric field and potential line

E=-ΔV

or

dV=ΔV.dr

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

=>dV=2dx+3dy

or the equation becomes 2x+3y=c

So the required equation is 2x+3y=c, (b) is the correct option