Given an equilateral triangle with side L, find E at its centroid. The linear charge density is as shown in figure.

Given an equilateral triangle with side L, find E at its centroid. The

1.	Given an equilateral triangle with side L, find E at its centroid. The linear charge density is as shown in figure.
Answer» Solution :The electric FIELD strength due to the threerods AB, BC and CA are shown in figure. `barE_(AC) =(3lambda)/(2PI in_(0)L)` (towards B) `barE_(AB) =(3lambda)/( 2pi in_(0)L)` (towards C) `barE_(BC)=(3lambda)/(2pi in_(0)L)` (towards MIDPOINT of BC) `barE_("Net") = barE_(AC) +barE_(AB) +barE_(BC)` `=(3lambda)/(pi in_(0)L)` (towards midpoint of BC)

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Given an equilateral triangle with side L, find E at its centroid. The linear charge density is as shown in figure.

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