Electric Field and Potential on a Line with Opposite Charges

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SUMMARY

The discussion focuses on determining the locations of zero electric potential along a line with a positive charge (+q) and a negative charge (-q2). It is established that the net electric field is zero at a point 1.00m to the right of the negative charge. To find the two spots where the electric potential is zero, one must set the sum of the potentials from both charges equal to zero and solve for the distance from the negative charge. The relationship between the magnitudes of the charges is derived from the condition where the electric field is zero.

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  • Understanding of electric fields and potentials
  • Familiarity with Coulomb's Law
  • Knowledge of the principle of superposition in electrostatics
  • Ability to solve algebraic equations involving variables
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  • Explore the method of superposition for electric potentials
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This discussion is beneficial for physics students, educators, and anyone studying electrostatics, particularly those focused on electric fields and potentials in systems with multiple charges.

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Homework Statement


A positive charge of +q is located 3.00m to the left if a negative charge -q2. The charges have different magnitudes. On the line through the charges, the net electric field is zero at a spot 1.00m to the right of the negative charge. On this line there are also two spots where the potential is zero. Locate these 2 spots relative to the negative charge.


Homework Equations



I don't know which equation I should use to start with. I really need help with this question.

The Attempt at a Solution

 
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At the point where E = 0, the E field due to the positive charge is equal (and opposite) to the E field due to the negative charge. Write this, replace each E with the formula for E, put in the numbers for the distance. You will end up with Q1 = a number times Q2.

Now pick a point x on the line through the charges. Say, x meters to the right of Q1. Write the expression for the potential there - the sum of the potentials due to each charge. Use the multiple of Q1 in place of Q2 so the Q1 cancels out in this equation. You should be able to solve it and find x.
 

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