Electric Field of Equilateral Triangle with Uniform Charge Densities

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SUMMARY

The discussion focuses on calculating the electric field at the center of an equilateral triangle with uniform linear charge densities of 1 µC/m, 2 µC/m, and 3 µC/m, with each side measuring 50 cm. To find the electric field, one must integrate the contributions from each side of the triangle, as the provided equations for infinite lines and planes of charge are not applicable. The integration setup is crucial for obtaining the correct electric field vector at the triangle's centroid.

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Homework Statement



The three side of an equilateral triangle have uniform linear charge densities 1MC/m , 2MC/m , and 3MC/m . Find the fild at the center of the triangle if each side is 50 cm long

http://www.feras1.com/1111.jpg

Homework Equations



http://www.feras1.com/2222.jpg

The Attempt at a Solution



i dont
 
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feras said:

The Attempt at a Solution



i dont
You need to fill up this section properly. The equations you provided aren't particularly useful because the first one refers to an infinite line of charge, the 2nd one is for an infinite plane of charge. You have to integrate over the length of one of those lines of charge. Then you can use the result for the other two lines of charge to get the answer. Now, how would you set up such an integration?
 
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