What Is the Electric Field Perpendicular to a Uniformly Charged Rod?

AI Thread Summary
To determine the electric field perpendicular to a uniformly charged rod, the problem involves a rod of length 0.1m with a linear charge density of 3C/m, and the electric field is to be calculated at a point 1m away from the rod. The approach requires using the principle of superposition and integrating the contributions from each infinitesimal segment of the rod. The integration setup mentioned is incorrect; it should involve the correct expression for the electric field due to a line charge, specifically integrating from 0 to 0.05m (half the length of the rod) and ensuring the correct power of (L^2 + d^2) is used in the denominator. Properly applying these principles will yield the electric field at the specified point.
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Homework Statement


A rod of length 0.1m has a uniform linear charge density of 3C/m. Determine the Electric field at a point d=P located at a perpendicular distance 1m along a line of symmetry of the rod.


The Attempt at a Solution


I know i have to use super position and integrate but I don't think I'm using the right integration.

I was trying 2\lambdaL\oint\frac{ddl}{ (L^2 + d^2)^3/2}
 
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it should be (L^2 + d^2) to the 3/2 power. and it is integrated from 0 to 1/2. and lamba is the linear charge density, L is length of rod, d is distance normal to rod
 
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