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

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SUMMARY

The net electric field produced by two charges, Q1 (-4.2 µC) and Q2 (+1.4 µC), separated by 1.0 m, is zero at a specific point along the line connecting the charges. The position can be calculated using the formula for electric fields due to point charges, leading to a location approximately 0.36 m from Q2. Additionally, placing a +5.0 µC charge at this position results in a force of approximately 0.014 N acting on it due to the electric fields from Q1 and Q2.

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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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