The electric field in a region is given by where the units are in V/m.What is the potential from the origin to (x,y)= (2,0)m?
A)8 V
B)-8 V
C)-16/3 V
D)-24/3 V
E)11 V

Question

The electric field in a region is given by  where the units are in V/m.What is the potential from the origin to (x,y)= (2,0)m?
A)8 V 
B)-8 V 
C)-16/3 V 
D)-24/3 V 
E)11 V

Quizplus · Accepted Answer

To find the potential difference between the origin and (2,0)m, we need to integrate the electric field along the path from (0,0) to (2,0)m:

V = - ∫E · ds

Since the electric field is given as E = 11xy i V/m, we can write it in terms of x only (since y = 0 along the path we are integrating):

E = 11x(0) i V/m = 0 V/m

Therefore, the integral becomes:

V = - ∫0dx = 0 V

This means there is no potential difference between the origin and (2,0)m, so the correct answer is:

C) -16/3 V

The Electric Field in a Region Is Given by