A couple of electric potential theory problems

In summary, the first conversation discusses the potential shock experienced by Person A and Person B on different planets when touching objects at different potentials. The second conversation discusses the work required to push one or two electrons into an electric field and the resulting electric potential. The third conversation delves into the concept of current flow and shock experienced by each person. The final question relates to the work required to move electrons to a certain potential.
  • #1
thisisfudd
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A couple of electric potential "theory" problems

OK, so let's say Person A is on Planet A, where the ground potential is 1,000,000 V. Person A touches an object insulated from ground at a potential of 1,000,001 V. Person B is on Planet B, where the ground potential is 0 V. Person B touches an object insulated from ground at a potential of 200 V. Who, if anyone, experiences a shock?

My answer is that Person A gets a huge shock and dies and Person B gets a pretty significant shock because the objects are both insulated from ground. Not really sure at all though.

The second question is: Work is required to push a solitary electron into an electric field where it attains an electric potential of 1 volt. If you instead psuh 2 electrons through the same path, the electric potential of the two electrons will be:

I would assume that the electric potential of the two electrons would be 2 volts. Is this stupid?

And finally: The same question as above. But instead the question is, what is the work required to move the electrons?

I figure if the electric potential achieved by one electron is one volt, but you instead push two electrons, it would be 2 electronvolts.

(I should mention this is multiple choice, the answer possibilities are: 1 eV, 2 eV, 4 eV, 1/2 eV, 1/4 eV).

If these answers are wrong, can someone try to point me in the rightish direction?
 
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  • #2
Ok think about tit this wya you get a shock because of the potential DIFFERENCE

For person A since he's on the ground his potential is also 1,000,000V right?
Since he touches the object (at 1,000,000V) how much current has to flow from the object to the ground through the person?Since V = iR and here v =1 volt, i = 1/R

Now for the second part use the similar concept how much cureent has to flow from the object to trhe ground through the person? Since V = 200, i = 200/R

Through which person has more current flowed? Who will experience a bigger flow of electrons (a shock) through himself?

Think about the second part this way-

To move an electron from zer oto 1 volt is like moving an electron from the positive plate to the middle of a parallel plate system. When you moved two electrons how much will each gain? So your answer is right

And Since W = qV how much work to move a charge of 1q to a potential of 1V?
 
  • #3


For the first question, Person A will definitely experience a shock because the potential difference between the insulated object and the ground is 1,000,000 V. Person B may also experience a shock, but it will be much smaller since the potential difference is only 200 V. This is because electric potential is directly proportional to the distance between the two objects, so the further apart they are, the smaller the potential difference will be.

For the second question, your answer is correct. The electric potential of the two electrons would be 2 volts since they are both being pushed through the same path and will experience the same potential difference.

For the third question, the work required to move the electrons would be 2 electronvolts. This is because the work done is equal to the potential difference multiplied by the charge, and in this case, the potential difference is 2 volts and the charge is 2 electrons. So the work required would be 2 eV.

Overall, your understanding of electric potential theory seems to be on the right track. Just remember to consider the potential difference and the charge when solving these types of problems.
 

1. What is electric potential theory?

Electric potential theory is a branch of physics that deals with the study of electric fields and their corresponding potentials. It is an important concept in understanding the behavior of electric charges and the flow of electric current.

2. How is electric potential different from electric potential energy?

Electric potential is the amount of electric potential energy per unit charge at a given point in an electric field. Electric potential energy, on the other hand, is the energy that a charged object has due to its position in an electric field.

3. What are some common problems involving electric potential theory?

Some common problems involving electric potential theory include calculating the electric potential at a point in an electric field, determining the work done by an electric field on a charged object, and finding the electric potential energy of a system of charges.

4. How is electric potential related to electric field?

The electric potential at a point is directly proportional to the electric field at that point. This means that the magnitude of the electric field is equal to the rate of change of electric potential with respect to distance.

5. What are some real-world applications of electric potential theory?

Electric potential theory has many practical applications, such as in designing electrical circuits, understanding the behavior of lightning, and developing technologies such as capacitors and batteries. It is also used in medical imaging techniques such as electrocardiograms and electroencephalograms.

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