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Chapter 26: Q. 13 (page 738)

The electric potential in a region of uniform electric field is-1000V at x=-1.0m and +1000Vatx=+1.0m. What is Ex?

Short Answer

Expert verified

Ex=-1000V/m

Step by step solution

01

Given information and theory used   

Given :

The electric potential is : -1000Vatx=-1.0m and

+1000Vatx=+1.0m.

Theory used :

The electric field is expressed as a function of potential as :

E(x)=-dV(x)dx
02

Calculating Ex 

In a given region, the uniform electric field is equal to minus the difference in potential divided by distance.

So,

Ex=-1000V-(-1000V)1m-(-1m)=-1000V/m is the result.

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Most popular questions from this chapter

a. Suppose that E鈫�=0鈫�V/mthroughout some region of space. Can you conclude that V=0Vin this region? Explain.

b. Suppose that V=0V throughout some region of space. Can you conclude that E鈫�=0鈫�V/m in this region? Explain.

Figure EX26.3 is a graph of Ex. What is the potential difference between xi=1.0mand xf=3.0m?

Figure EX26.11 is a graph ofVversusx. Draw the corresponding graph ofExversusx.

The 90mFcapacitor in a defibrillator unit supplies an average of 6500Wof power to the chest of the patient during a discharge lasting 5.0cm. To what voltage is the capacitor charged?

What are the charge on and the potential difference across each capacitor in FIGURE P26.58?
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