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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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Most popular questions from this chapter

The electric potential in a region of space is V=(150x2-200y2)V, where xand yare in meters. What are the strength and direction of the electric field at (x,y)=(2.0m,2.0m)? Give the direction as an angle cwor ccw(specify which) from the positive x-axis

An ideal parallel-plate capacitor has a uniform electric field between the plates, zero-field outside. By superposition, half the field strength is due to one plate and a half due to the other.

a. The plates of a parallel-plate capacitor are oppositely charged and attract each other. Find an expression in terms of C,鈭�Vcand the plate separation dfor the force one plate exerts on the other.

b. What is the attractive force on each plate of a 100pFcapacitor with a plate spacing when1.0mmcharged to 1000V?

Figure EX26.12 is a graph of Vversusx. Draw the corresponding graph of Exversusx.

Initially, the switch in FIGUREP26.61is in position A and capacitors C2and C3are uncharged. Then the switch is flipped to position B. Afterward, what are the charge on and the potential difference across each capacitor?

An electron is released from rest atx=2m in the potential shown in Figure Q26.6. Does it move? If so, to the left or to the right? Explain.
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