Question

Question 1 --/1 View Policies Current Attempt in Progress 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 13 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? E (N/C) 11 2/3 4 5 6 xm (a) Number Units (b) Number i Units Units (c) Number i Units Attempts: 0 of 5 used Save for Later Submit Answer

Answer 1

here,

Ex = 20 N/C

the electric potential at the origin , V0 = 13 V

a)

at x1 = 2 m

the electric potential at x1 = 2 m , V1 = V0 + (0.5 * (2) * (-Ex))

V1 = 13 + 0.5 * 2 * ( -20) = - 7 V

b)

the greatest value of potential at x2 = 6 m ,V2 = V0 + 0.5 * (-Ex) * 2 + 0.5 * (-Ex) * 1 + 0.5 * Ex * 1 + Ex * (6 - 4)

V2 = 13 + 0.5 * (-20) * 2 + 20 * (6 - 4) V

V2 = 33 V

c)

let the value be x

for V = 0

V0 + 0.5 * (-Ex) * x = 0

13 = 0.5 * 20 * x

x = 1.3 m

the value of x is 1.3 m