Point Charges creating an electric field

AI Thread Summary
The discussion focuses on calculating the net electric field at the origin created by two point charges: q1 = -4.00 nC and q2 = 6.00 nC. The user correctly identifies the need to treat the electric fields as vectors, with the field from the negative charge pointing towards it and the field from the positive charge directed away from it. However, they express confusion over their calculations, particularly in determining the magnitude and direction of the net electric field. The user suspects errors in their vector addition and angles, indicating a need for clarification on vector components. Overall, the conversation highlights common challenges in applying electric field concepts to 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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