Charge & E-Field: Sum of Vectors of 3 different charge

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A positively charged particle and a negatively charged particle are positioned symmetrically along the x-axis, with a third positive charge located on the y-axis. The forces exerted on the third charge by the first two charges must be analyzed using vector addition. The symmetry of the setup indicates that the forces from the two charges will cancel out in the x-direction, resulting in a net force directed along the y-axis. A free body diagram can help visualize this, confirming that the resultant force on the third charge is indeed along the y-axis. Understanding the vector sum of these forces is crucial for solving problems related to electric fields and charge interactions.
Mikeez
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A positively charged particle is placed along the positive x-axis and a particle carrying a negative charge of equal magnitude is placed at equal distance from the origin along the negative x axis. A third particle carrying a positive charge is placed on the y axis. The vector sum of the forces exerted by 1 and 2 on 3 is directed


https://galileo.johnabbott.qc.ca/enc/45/c7a5a185e640153d9d3b6aade2024fb0f4c0c7f8110628cbf8b82d4fddf29e320b25914c8ce9ee43713319c4971f5e652dcfce4b4a98fc9a80132c0edc8e61a2.jpg

  1. in the +x direction.
  2. in the -x direction.
  3. along the y axis.
  4. toward particle 1.
  5. along another direction.

I tried: 1. in the +x direction. and 3. along the y axis.
 
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Draw a free body diagram and use symmetry. Consider the force vectors from charge1 and charge2 one at a time, and add them together as per usual. Note the similarities in the forces exerted on charge3 by charge2 and charge1.
 

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