Electric Potential and Charges Problem

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SUMMARY

The electric potential at point P, located at the origin, can be calculated using the formula V = kq/r, where k is Coulomb's constant, q is the charge, and r is the distance from the charge to point P. For Charge A at (-3,0) and Charge B at (4,0), both positive charges will contribute positively to the potential at P. If either charge is negative, its contribution will be negative, but the overall potential can still be determined by simply adding the individual potentials, as electric potential is a scalar quantity.

PREREQUISITES
  • Understanding of electric potential and Coulomb's law
  • Familiarity with the formula V = kq/r
  • Basic knowledge of scalar quantities in physics
  • Concept of charge polarity and its effect on electric potential
NEXT STEPS
  • Study the implications of negative charges on electric potential
  • Learn about the concept of electric fields and their vector nature
  • Explore the relationship between electric potential and electric field strength
  • Investigate the applications of electric potential in circuit theory
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to understand electric potential and its calculations in electrostatics.

buyerat
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Homework Statement



Point P is at the origin. Charge A is at (-3,0) and Charge B is at (4,0). What is the electric potential at point P. Let's assume they are both positive charges for now, but I am interested to know if and how it changes if either/both of the charges are negative.




Homework Equations




I assume I will need to use V=kq/r but I could be mistaken.




The Attempt at a Solution



Once I get both the potentials using V=kq/r can I simply add them together to get the potential at P? If one charge was negative do I subtract the potential from that one from the positive charge to get the potential at P?


Thank you
 
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buyerat said:

Homework Statement



Point P is at the origin. Charge A is at (-3,0) and Charge B is at (4,0). What is the electric potential at point P. Let's assume they are both positive charges for now, but I am interested to know if and how it changes if either/both of the charges are negative.




Homework Equations




I assume I will need to use V=kq/r but I could be mistaken.




The Attempt at a Solution



Once I get both the potentials using V=kq/r can I simply add them together to get the potential at P? If one charge was negative do I subtract the potential from that one from the positive charge to get the potential at P?


Thank you

Yes, you can use Kq/r to calculate the potential due to each charge at P. The great thing about using potentials is that it is a scalar and you can just add them. If you were using the E-field you would have to add the vectors which is more difficult. If charge is negative then it makes the potential negative since v = kq/r, so if q is negative then v will be negative as well.
 
Thank you very much for the quick help. I thought I was on the right track but wanted to get some expert help :D.

Thanks again
 
Hi buyerat! :wink:
buyerat said:
Once I get both the potentials using V=kq/r can I simply add them together to get the potential at P? If one charge was negative do I subtract the potential from that one from the positive charge to get the potential at P?

Yup! … potentials add just like numbers. :smile:
 

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