Electric Potential within a Vector.

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SUMMARY

The discussion focuses on calculating the charge required at a specific point to achieve zero electric potential at the origin, given two existing charges: +16.1 µC at (4.40 m, 6.02 m) and -12.8 µC at (-4.50 m, 6.75 m). The solution involves treating the charges as vectors and applying the superposition principle of electric potential. By summing the vectors of the two charges and reversing the sign, one can determine the necessary charge at (2.23 m, -3.01 m) to balance the potential to zero.

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  • Understanding of electric potential and its mathematical representation.
  • Familiarity with vector addition in physics.
  • Knowledge of the superposition principle in electrostatics.
  • Basic skills in solving equations involving electric charges and distances.
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  • Explore the superposition principle in more depth, particularly in electrostatic contexts.
  • Investigate how to calculate the resultant electric potential from multiple point charges.
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SubluxT7
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Hi everyone, this is my first shot at posting here. I'm looking for a way to attack this problem and needless to say i just can't figure it out. Here is the problem.

A charge of +16.1 µC is located at (4.40 m, 6.02 m) , and a charge of -12.8 µC is located at (-4.50 m, 6.75 m) . What charge must be located at (2.23 m, -3.01 m) if the electric potential is to be zero at the origin?

If anyone can give some thoughts on how i should proceed with this, would be greatly appreciated.:bugeye:
 
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Just treat the two as vectors, one positive one negative, and add them together. Reverse the sign of the vector you get and that's what you need to balance the equation.
 
The electric potential obeys the superposition principle.
 

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