Electric field of a point of charge

AI Thread Summary
To find the electric field vector at point P (15 cm, 25 cm) due to a point charge Q (16.5 µC) at the origin, the distance to point P is calculated as 29.15 cm (0.2915 m) using the Pythagorean theorem. The electric field is then computed using the formula E = kQ/d², resulting in an amplitude of approximately 1,694,117.647 N/C. The direction of the electric field vector is aligned with the hypotenuse connecting the origin to point P. Clarification was sought regarding the multiplication of the electric field amplitude by the charge, which is unnecessary for determining the electric field itself. The discussion emphasizes understanding both the magnitude and direction of the electric field vector.
ibaraku
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Homework Statement


A point charge Q = 16.5uC is at the origin. Find the electric field vector at the point P with coordinates x = 15cm, y = 25cm, z = 0.


Homework Equations



E = kQ/d^2
F = QE


The Attempt at a Solution



Ok, so first to calculate the distance between the origin and point P I used the Pythagorean theorem, which comes out to be 29.15cm, or .2915m

Then I applied the formula above

[(9 x 10^9) (16 x 10^-6)] / [(.15)^2 + (.25)^2] which is equal to --->>> 1694117.647 N/C

so my question is
in order to get the electric field do I just multiply
(1694117.647) (16 x 10^-6) --->>> 27.11

it just doesn't seem right...
thanks
 
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why don't you break it down for us and tell us what all these numbers and equations mean.
 
1694117.647 N/C is the amplitude of the field vector at that point.
The direction of the vector is parallel to the hypotenuse.
 
gendou2 said:
1694117.647 N/C is the amplitude of the field vector at that point.
The direction of the vector is parallel to the hypotenuse.

Ok I see, thanks
 
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