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oooride
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Okay I'm really confused with continuous charge distributions, so I'm totally stuck...
A continuous line of charge lies along the x axis, extending from x=+x_0 to positive infinity. The line carries a uniform linear charge density lambda_0. What are the magnitude and direction of the electric field at the origin?
I have no idea where to approach or how to setup this problem up really.. What I tried to do is this..
Since, lambda = Q / L = dq / dx
E = int dE
= int k_e dq / r^2
= k_e int lambda dx / x^2
And then I'm completely stuck... Do I need to find lambda or just integrate? or...?
Any help is greatly appreciated.
Thanks.
A continuous line of charge lies along the x axis, extending from x=+x_0 to positive infinity. The line carries a uniform linear charge density lambda_0. What are the magnitude and direction of the electric field at the origin?
I have no idea where to approach or how to setup this problem up really.. What I tried to do is this..
Since, lambda = Q / L = dq / dx
E = int dE
= int k_e dq / r^2
= k_e int lambda dx / x^2
And then I'm completely stuck... Do I need to find lambda or just integrate? or...?
Any help is greatly appreciated.
Thanks.
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