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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 typical cell has a membrane potential of -70mV, meaning that the potential inside the cell is 70mV less than the potential outside due to a layer of negative charge on the inner surface of the cell wall and a layer of positive charge on the outer surface. This effectively makes the cell wall a charged capacitor. Because a cell's diameter is much larger than the wall thickness, it is reasonable to ignore the curvature of the cell and think of it as a parallel-plate capacitor. How much energy is stored in the electric field of a 50渭mdiameter cell with a 7.0nmthick cell wall whose dielectric constant is 9.0?

The electric field in a region of space is eX=-1000脳v/M, where xis in meters.

a. Graph Exversus xover the region -1m...脳...1m.

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Figure Q26.8 shows a negatively charged electroscope. The gold leaf stands away from the rigid metal post. Is the electric potential of the leaf higher than, lower than, or equal to the potential of the post? Explain.

You need to construct a 100 pF capacitor for a science project. You plan to cut two L * L metal squares and insert small spacers between their corners. The thinnest spacers you have are 0.20 mm thick. What is the proper value of L?

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