A couple of electric potential theory problems

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SUMMARY

The discussion centers on electric potential theory, specifically analyzing shock experiences of two individuals under different potentials. Person A, at a ground potential of 1,000,000 V, experiences a significant shock when touching an object at 1,000,001 V due to a potential difference of 1 V. In contrast, Person B, at 0 V, touching an object at 200 V, experiences a smaller shock due to a potential difference of 200 V. Additionally, it is confirmed that moving two electrons through a potential difference of 1 V results in an electric potential of 2 volts, and the work required to move these two electrons is 2 electronvolts (eV).

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  • Understanding of electric potential and voltage
  • Knowledge of electric current and resistance (Ohm's Law)
  • Familiarity with electron charge and electronvolts (eV)
  • Concept of potential difference in electric fields
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  • Study the relationship between electric potential and electric fields
  • Learn about Ohm's Law and its applications in electric circuits
  • Explore the concept of potential difference and its impact on current flow
  • Investigate the work-energy principle in the context of electric charges
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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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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?
 


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.
 

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