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edr1c
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Charge Q is applied to a circular disk of ebonite of radius a by rubbing it while it is rotating. in this way, the surface charge density becomes proportional to the radial distance from the center. Show that the electric field strength on the axis of the disk at an axial distance h from the center is
\[E=\frac{ 3Qh }{ 4\pi \epsilon_{0}a^{3} }\left[ \ln \frac{ a+\sqrt{a^2+h^2} }{ h }\frac{ 1 }{\sqrt{a^2+h^2}} \right]a_{n}\]
 one year ago
 one year ago
edr1c Group Title
Charge Q is applied to a circular disk of ebonite of radius a by rubbing it while it is rotating. in this way, the surface charge density becomes proportional to the radial distance from the center. Show that the electric field strength on the axis of the disk at an axial distance h from the center is \[E=\frac{ 3Qh }{ 4\pi \epsilon_{0}a^{3} }\left[ \ln \frac{ a+\sqrt{a^2+h^2} }{ h }\frac{ 1 }{\sqrt{a^2+h^2}} \right]a_{n}\]
 one year ago
 one year ago

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amandasoto144 Group TitleBest ResponseYou've already chosen the best response.0
OMG!, this looks like Chinese to me!!
 one year ago

amandasoto144 Group TitleBest ResponseYou've already chosen the best response.0
@thomaster can you help this, looks like chinese
 one year ago

amandasoto144 Group TitleBest ResponseYou've already chosen the best response.0
@satellite73
 one year ago

edr1c Group TitleBest ResponseYou've already chosen the best response.0
i'd almost get the integral form, but the maths is confusing. is it possible to integrate \[\int\limits_{}^{}\frac{ a^2 }{ a^2+h^2 }da\]without involving any trigo substitution? or trigo substitution is the only method to solve this?
 one year ago

edr1c Group TitleBest ResponseYou've already chosen the best response.0
i dont get this, obtained from wolfrom =X how (h^2 + H^2 tan^2 u)^3/2 becomes h^3 sec^3 u?
 one year ago

edr1c Group TitleBest ResponseYou've already chosen the best response.0
need help simplifying some intermediate steps \[\left\{ \ln \left[ \sqrt{\frac{ r^2 }{ h^2 }+1}+\frac{r}{h} \right] \frac{ rh \sqrt{\frac{ r^2 }{ h^2 }+1} }{ r^2+h^2 } \right\}\]
 one year ago

E.ali Group TitleBest ResponseYou've already chosen the best response.0
@:edr1c:POwers can kill the Radicals ! Try!:)
 one year ago
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