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Chapter 26: Q. 51 (page 739)

The potential at the center of a 4.0-cm-diameter copper sphere is 500 V, relative to V = 0 V at infinity. How much excess charge is on the sphere?

Short Answer

Expert verified

The excess charge is on the sphere is 1.1nC .

Step by step solution

01

Given Information

We have given that the potential at the center of a 4.0-cm-diameter copper sphere is 500 V, relative to V = 0 V at infinity.

02

Simplify

The sphere is conductive, the potential will be the same throughout the volume, and will be equal to the potential at the surface of the sphere. The potential created by charge

V=kqr,

Where r is the given radius of the sphere. and solve for the charge as

localid="1648562464911" q=Vrk,

Substituting radius with diameter

q=Vd2k

Using the numerical values

localid="1649261072160" q=500路0.042路9路109=1.1nC

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Most popular questions from this chapter

a. Use the methods of Chapter 25 to find the potential at distance xon the axis of the charged rod shown in FIGURE P26.43.

b. Use the result of part a to find the electric field at distance xon the axis of a rod

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.

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

What is the potential difference between xi=10cm and xf=30cm in the uniform electric field Ex=1000V/m?

Figure EX26.4 is a graph of Ex. The potential at the origin is -50V. What is the potential at x=3.0m?

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