At what position is the net electric field equal to zero?

AI Thread Summary
The net electric field produced by two charges, Q1 (-4.2 µC) and Q2 (+1.4 µC), separated by 1.0 m, is equal to zero at a specific point along the line connecting them. This point is determined by the ratio of the magnitudes of the charges and their distances from the point of interest. To find this position, calculations involving the electric field equations for both charges must be performed. Additionally, if a +5.0 µC charge is placed at this position, the force acting on it due to Q1 and Q2 can be calculated using Coulomb's law. Understanding these principles is essential for solving the problem accurately.
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Two charges are separated by 1.0 m. Q1 has a negative charge of 4.2 µC and Q2 has a positive charge of 1.4 µC. At what position is the net electric field that is produced by both Q1 and Q2 equal to zero?

Extra Credit: If a +5.0 µC charge is placed at this position, what force would act on it as a result of Q1 and Q2?
 
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