Point charge and electric potential

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SUMMARY

The discussion centers on calculating the electric potential at the fourth corner of a square formed by three point charges, each of 10^-9 C, located at three corners of a square with a side length of 20 cm. The formula used is V = Q / (4(pi)(epsilon 0) r), leading to individual potentials of 44.96 V from corners A and B, and 31.66 V from corner C, resulting in a total potential of 121.58 V. A minor correction was noted regarding the distance for corner C, which should be approximately 0.283 m instead of 0.284 m.

PREREQUISITES
  • Understanding of electric potential and point charges
  • Familiarity with the formula V = Q / (4(pi)(epsilon 0) r)
  • Knowledge of basic geometry, specifically the properties of squares
  • Ability to perform unit conversions and calculations involving scientific notation
NEXT STEPS
  • Learn about electric potential due to multiple point charges
  • Study the concept of electric field and its relation to electric potential
  • Explore the calculation of electric potential at the center of a square with four point charges
  • Investigate the implications of using different charge values and distances in electric potential calculations
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding electric potential calculations involving point charges.

uniidiot
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Homework Statement


three point charges, each of 10^-9 are located at 3 corners of a square of side 20cm. Calculate the electric potential at the forth corner.


Homework Equations



V = Q / (4(pi)(epsilon 0) r)


The Attempt at a Solution



Potential because of corner A = 10^-9 / (4 (pi) (epsilon 0) 0.2)

= 44.96

Potential because of corner B = 10^-9 / (4 (pi) (epsilon 0) 0.2)

= 44.96

Potential because of corner C = 10^-9 / (4 (pi) (epsilon 0) 0.284)

= 31.66

A + B + C = 121.58


Is this correct, finding the potential from each point charge individualy?

Also there is another question very similar to this where there are 4 point charges on the corners of a square, and we need to find the potential at the centre, would i do this the same as above, (providing what i did above is correct.
 
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uniidiot said:

Homework Statement


three point charges, each of 10^-9 are located at 3 corners of a square of side 20cm. Calculate the electric potential at the forth corner.


Homework Equations



V = Q / (4(pi)(epsilon 0) r)


The Attempt at a Solution



Potential because of corner A = 10^-9 / (4 (pi) (epsilon 0) 0.2)

= 44.96

Potential because of corner B = 10^-9 / (4 (pi) (epsilon 0) 0.2)

= 44.96

Potential because of corner C = 10^-9 / (4 (pi) (epsilon 0) 0.284)

= 31.66

A + B + C = 121.58


Is this correct, finding the potential from each point charge individualy?

Also there is another question very similar to this where there are 4 point charges on the corners of a square, and we need to find the potential at the centre, would i do this the same as above, (providing what i did above is correct.

Yes, it's correct (you should put the units on your answers, though!). I get a slightly different value for the distance for the third chare (0.2828 m which is approximately 0.283) . You are doing it the right way: finding the potential due to each charge and then adding all the results.
 
thank you.

I get a slightly different value for the distance for the third chare (0.2828 m which is approximately 0.283)

i think it was a typing error lol.
 

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