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Gauss's law -- Integral form problem
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[QUOTE="jerryfelix30, post: 6174691, member: 659103"] [B]Homework Statement:[/B] The effective charge density of the electron cloud in a hydrogen atom in its quantum mechanical ground state turns out to be given by pnot(e^-(r/rnot)), where pnot is a negative constant (the clouds charge density at r=0) and rnot is a constant (rnot=0.025nm). Use gauss's law in integral form to calculate directly how E varies with r inside the electron cloud. Remember that there is a proton at r=0! Express your result in terms of the protons charge q. [B]Relevant Equations:[/B] Gauss's law= E dot dA=q(enclosed)/epsilon not Q enclosed is the net charge enclosed in the shape and epsilonnot is the permittivity constant [B]Problem Statement:[/B] The effective charge density of the electron cloud in a hydrogen atom in its quantum mechanical ground state turns out to be given by pnot(e^-(r/rnot)), where pnot is a negative constant (the clouds charge density at r=0) and rnot is a constant (rnot=0.025nm). Use gauss's law in integral form to calculate directly how E varies with r inside the electron cloud. Remember that there is a proton at r=0! Express your result in terms of the protons charge q. [B]Relevant Equations:[/B] Gauss's law= E dot dA=q(enclosed)/epsilon not Q enclosed is the net charge enclosed in the shape and epsilonnot is the permittivity constant The shape is a sphere so area is 4pi r^2 Ex4pir^2=q/epsilonnot E=q/4pir^2(epsilonnot) [/QUOTE]
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Gauss's law -- Integral form problem
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