Point Charges creating an electric field

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SUMMARY

The discussion focuses on calculating the net electric field at the origin due to two point charges: q1 = -4.00 nC located at (0.600 m, 0.800 m) and q2 = 6.00 nC at (0.600 m, 0). The user applies the formula E = (1/4πε₀)(q/r²) to determine the electric field vectors but encounters difficulties in vector addition and direction calculation. The user’s calculations for the electric field magnitude and direction yield incorrect results, indicating a misunderstanding of vector components and their summation.

PREREQUISITES
  • Understanding of Coulomb's Law and electric fields
  • Familiarity with vector addition and components
  • Knowledge of the concept of electric field direction
  • Basic proficiency in physics, particularly electromagnetism
NEXT STEPS
  • Review vector addition techniques in physics
  • Study the principles of electric fields generated by point charges
  • Learn about the significance of the sign of charge in electric field direction
  • Practice problems involving multiple point charges and net electric field calculations
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Students studying electromagnetism, physics educators, and anyone interested in understanding electric fields generated by point charges.

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A point charge q =-4.00 nC is at the point x = 0.600 m, y = 0.800 m, and a second point charge q=6nC is at the point x = 0.600 m, y = 0.

A)Calculate the magnitude of the net electric field at the origin due to these two point charges.

I assume i can just treat the electric field charge as a vector pointed towards the - charge from the origion, using E = (1/4*pi*E_0)(q/r^2).
The other charge is therefore a horizontal vector on the x-axis pointing inwards.
After adding components together, I came to:
(8.988*10^9)(16.97108653*10^-9), any idea where I went wrong?

Next.
B)What is the direction of the net electric field at the origin due to these two point charges.
I assume I would just use the same technique here, and ended up with 169.1314747 degrees up from the x-axis... any ideas on where I'm messing up?
 
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nm was stupid and messed up my vectors
 

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