A graph of the x component of the electric field as a function of x in a region
ID: 3896369 • Letter: A
Question
A graph of the x component of the electric field as a function of x in a region of space is shown in the figure. The scale of the vertical axis is set by Exs = 20.0 N/C. The y and z components of the electric field are zero in this region. If the electric potential at the origin is 19 V, (a) what is the electric potential at x = 2.0 m, (b) what is the greatest positive value of the electric potential for points on the x axis for which 0 <= x <= 6.0 m, and (c) for what value of x is the electric potential zero?
can I have the answer with explanetion, becaus I did foun an old answers on Chegg but I did Not get them.
Thank you
Explanation / Answer
V = -E.dl
so
E.dl = negative of area under the curve
a) 19+20*2/2
= 39 V
b) it is at x = 3 cm because total area is most negative at x =3 m
= 39+20*1/2
= 49 V
c)V = 0 at
area = 19
=-20*2/2-20*1/2+20*1/2+(x-4)*20
x = 5 m