Where is the Electric Field Zero on a Line Between Two Charges?

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SUMMARY

The electric field is zero at a specific point on the line between a 5.0 μC charge at the 0 cm mark and a -4.0 μC charge at the 50 cm mark. To determine this point, apply the equation E = k(q)/r², where E is the electric field, k is Coulomb's constant, q is the charge, and r is the distance from the charge. The principle of superposition is essential for solving this problem, as it allows for the calculation of the net electric field from both charges.

PREREQUISITES
  • Understanding of Coulomb's Law
  • Familiarity with electric field concepts
  • Knowledge of superposition principle in electrostatics
  • Basic algebra for solving equations
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  • Learn about electric field lines and their significance
  • Explore the concept of electric field superposition
  • Practice solving problems involving multiple point charges
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Homework Statement



A 5.0 μC charge is placed at the 0 cm mark of a meter stick and a -4.0 μC charge is placed at the 50
cm mark. At what point on a line joining the two charges is the electric field zero?

Homework Equations



I am not quite sure which equation to use. Do I need to use E=k(q)/r^2?

The Attempt at a Solution

 
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Hello, and welcome. Yes, use the standard equation for E. Remember that E works on superposition.
 

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