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The electric field at arbitrary point outside the sphere is determined as the E = σr³/k.
<h3>Electric field determined from Gauss law</h3>The electric field of the surface is determined from Gauss law as shown below;
E ∫ds = Q/ε
E (4πr²) = Q/ε
E = Q/4πεr² . r
where;
- σ is dipole moment of atom of the metal
- k is dielectric constant
Thus, the electric field at arbitrary point outside the sphere is determined as the E = σr³/k.
The complete question:
A metal sphere of radius R carries a total charge Q. outside the sphere is a dielectric with polarization p(f) k/r^3er. Determine the electric field at arbitrary point outside the sphere.
Learn more about electric field here: brainly.com/question/14372859
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