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this is a homework problem i realized after posting it. so could a moderator please move this question to the homework section? thanks
one of Griffiths' example:
A primitive model for an atom consists of a point nucleus surrounded by a uniform charged spherical cloud of radius "a". Find the atomic polarizability of such an atom.
(reference equation):
$$\vec{p}=a \vec{E}$$
-------------------
First step:
the field (produced by the electron cloud) at distance d from the center of a uniformly charged sphere is
$$E_e=\frac{1}{4\pi \epsilon_0}\frac{qd}{a^3}$$
---------------so why is that the field produced by the shifted electron cloud?
ie, how does one go from
$$E_e=\frac{1}{4\pi \epsilon_0}\frac{q}{a^2}$$
to..
$$E_e=\frac{1}{4\pi \epsilon_0}\frac{qd}{a^3}$$
(where "d" and "a" are not equal)?
one of Griffiths' example:
A primitive model for an atom consists of a point nucleus surrounded by a uniform charged spherical cloud of radius "a". Find the atomic polarizability of such an atom.
(reference equation):
$$\vec{p}=a \vec{E}$$
-------------------
First step:
the field (produced by the electron cloud) at distance d from the center of a uniformly charged sphere is
$$E_e=\frac{1}{4\pi \epsilon_0}\frac{qd}{a^3}$$
---------------so why is that the field produced by the shifted electron cloud?
ie, how does one go from
$$E_e=\frac{1}{4\pi \epsilon_0}\frac{q}{a^2}$$
to..
$$E_e=\frac{1}{4\pi \epsilon_0}\frac{qd}{a^3}$$
(where "d" and "a" are not equal)?
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