What is the electric potential at points A and B?

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SUMMARY

The electric potential at points A and B can be calculated using the formula V = kQ/r, where k is Coulomb's constant (9 x 10^9 N m²/C²), Q is the charge, and r is the distance from the charge to the point of interest. For point A, the potential is calculated as V_A = (9 x 10^9 * 10 x 10^-6) / 0.2, resulting in a specific value. For point B, the potential is V_B = (9 x 10^9 * -8 x 10^-6) / 0.3, which also yields a distinct value. The total potential at each point is the sum of the potentials due to all charges present.

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  • Understanding of electric potential and Coulomb's law
  • Familiarity with scalar quantities in physics
  • Basic algebra for manipulating equations
  • Knowledge of point charge interactions
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  • Learn about the implications of scalar quantities in physics
  • Explore the derivation and applications of Coulomb's law
  • Investigate the effects of multiple charges on electric potential
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Students in physics, particularly those studying electromagnetism, as well as educators and anyone seeking to understand electric potential calculations involving multiple point charges.

Cauchemar
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Homework Statement


They're in the attachment

Homework Equations


V=kQ/r

The Attempt at a Solution


I was absent during this class,so I have no idea,but I attempted question a which is the potential at point a,b
Point a=(9*10^9 * 10*10^-6/0.2)
Point B=(9*10^9 * -8*10^-6/0.3)
 

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Cauchemar said:

Homework Statement


They're in the attachment

Homework Equations


V=kQ/r

The Attempt at a Solution


I was absent during this class,so I have no idea,but I attempted question a which is the potential at point a,b
Point a=(9*10^9 * 10*10^-6/0.2)
Point B=(9*10^9 * -8*10^-6/0.3)
Don't you think the potential at a given point would be a function of all of the charges?
 
The potential is a scalar quantity. Simply find the potential due to A, the potential due to B, and add them up. Here is an algebraic solution:

We know that ##V = \frac{kQ}{r}##. So, ##V_A## will be given by $$V_A = \frac{kQ_1}{r_1} + \frac{kQ_2}{r_2}$$, where ##r_1## and ##r_2## are the distances between the point charges. Do the same for part B.
 

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