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(a) A sphere has a surface uniformly charged with 1.00 C. At what distance from its center is the potential 5.00 MV? (b) What does your answer imply about the practical aspect of isolating such a large charge?

(a) $r=1.80 km$(b) A charge of 1 coulomb on the sphere is extremely large amount of charge. To get a feeling of how big a charge of 1 coulomb is, you should know that a typical lightning bolt transfers only 15 coulombs of charge. In our problem, the charge generates a potential of 5.00 $\mathrm{MV}$ a distance 1.80 $\mathrm{km}$ away from it which is a huge distance.

Physics 102 Electricity and Magnetism

Chapter 19

Electric Potential and Electric Field

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Rutgers, The State University of New Jersey

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Lectures

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Charge $Q = +$4.00 $\mu$C …

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So let's solve this question. Were given that sphere the uniformly charge distribution off one cool in charge charge. Q. Is one cool? We know how to find the potential from a sphere. Potential is given ized k Q. Divided by distance, so this can be used to find the distance from which the foot of given potential is. Five. Made a vote so que cute about it by B. So we know all the quantities we need to know. Nine times 10 Power. Nine. That's the value of K. Q Is one divided by voltage, which is five million volt, which means five times 10 power. Six. So nine by five is 1.8 times 10 power. Three meters. This is 1.8 kilometers. No, the next spot is quite intuitive to answer for. So it says, What does it imply about the practical aspects of isolating such a large charge? So one column is a huge charge to replaced on any small sphere. If you want example, which can be which can actually tell you how much charges. One column. So let's consider lightning bolt lightning bolt. When it strikes, it can burn down the trees it can burn down the houses. It delivers about 15 column of charge. But that's the max it does on. We're considering a significant amount of charge when we stay. One cool. Oh, so this is highly impractical.

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