Electric field and an equilateral triangle

AI Thread Summary
The discussion revolves around calculating the electric field strength at the center of an equilateral triangle formed by three rods, two positively charged and one negatively charged. The user initially miscalculates the radius and height of the triangle, leading to incorrect values in their electric field equation. Clarification is sought on whether the length used in the equation should be the radius or the height of the triangle. The correct height is determined to be 4.72 cm, but confusion persists regarding the application of this value in the electric field formula. The conversation emphasizes the importance of accurately determining geometric dimensions for electric field calculations.
abeltyukov
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Homework Statement



Three 8 cm long rods form an equilateral triangle. Two of the rods are charged to +8 nC, the third to -8 nC. What is the electric field strength at the center of the triangle?


Homework Equations



E = 4piKλL

The Attempt at a Solution



I found the radius of the triangle to be 4.2688 cm. I tried doing E = 4(pi)(9 x 10^9)(100 nC/m) (.042688 m) but that seems wrong. Is L not the radius of the triangle?


Thanks!
 
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Whats the height of the triangle? Divide that by 2
 
I still don't get the right answer when I plug in 0.0472 m for L. Any ideas?

Thanks!
 
Thats still not it...start by finding the height
 
The height is 4.72 cm, right? sqrt (8^2 + 4^2). Where do I go from there?

Thanks!
 
This is not resolving vectors if that's what youre thinking. The hypotenuse is 8 cm and one of the sides is 4 cm. Then you need to cut that height in half
 
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