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Chapter 26: Q. 9 (page 737)

Figure EX26.9shows a graph of Vversusxin a region of space. The potential is independent of y and z. What is Exat

(a) x=-2cm, (b) x=0cm, and (c) x=2cm?

Short Answer

Expert verified

a.Ex=-2=5V/m

b.Ex=0cm=-10V/m

c.Ex=2cm=5V/m

Step by step solution

01

Given information and formula used   

Given graph :

Positions : (a) x=-2cm, (b) x=0cm, and (c) x=2cm

Theory used :

The electric field strength is assumed to be independent of both yandzpositions, i.e., it only depends on xposition. As a result,

E=-dVdx

02

Calculating Ex at (a) x = -2 cm, (b) x = 0 cm, and (c) x = 2 cm

Finding the derivative of the potential at the stated points of interest, we have :

a. At a distance of x=-2cm, the electric field strength will be :

Ex=-2cm=-ddxVx=-2cm=--10-0-1-(-3)=5V/m

b. At position x=0cm, the electric field strength will be

Ex=0cm=-ddxVx=0cm=-10-(-10)1-(-1)=-10V/m

c. At location x=2cm, the electric field strength will be

Ex=2cm=-ddxVx=2cm=-0-103-1=5V/m

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