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Question-37045




Question Number 37045 by ajfour last updated on 08/Jun/18
Commented by ajfour last updated on 08/Jun/18
Find electric field at a distance  r_⊥  from a line charge of   uniform charge density, net  charge q.
Findelectricfieldatadistancerfromalinechargeofuniformchargedensity,netchargeq.
Answered by ajfour last updated on 08/Jun/18
E=∫dEcos θ       =∫((λdycos θ)/(4πε_0 r^2 ))  r=r_⊥ sec θ  y=r_⊥ tan θ   ⇒   dy=r_⊥ sec^2 θdθ  E=((q/l)/(4πε_0 ))∫_(−α) ^(  α) ((r_⊥ sec^2 θdθ cos θ)/(r_⊥ ^2 sec^2 θ))     = ((q/l)/(4πε_0 r_⊥ ))(2sin α)     =((q/l)/(4πε_0 r_⊥ ))×((2×l/2)/r_(end) )  E = (q/(4πε_0 r_⊥ r_(end) )) .
E=dEcosθ=λdycosθ4πϵ0r2r=rsecθy=rtanθdy=rsec2θdθE=q/l4πϵ0ααrsec2θdθcosθr2sec2θ=q/l4πϵ0r(2sinα)=q/l4πϵ0r×2×l/2rendE=q4πϵ0rrend.
Commented by Tinkutara last updated on 08/Jun/18
Thank you very much Sir! I got the answer. ��������

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