A soap bubble (an insulating, spherical shell of radius R) is uniformly coated with polar molecules so that a dipole double layer with r forms on its surface Find the potential at every point in space Check that the matching condition is satisfied at r R ...

The outward normal to the sphere is r Therefore using the divergence the potential ...

A soap bubble (an insulating, spherical shell of radius R) is uniformly coated with polar molecules so

Question:

A soap bubble (an insulating, spherical shell of radius R) is uniformly coated with polar molecules so that a dipole double layer with τ = τ ˆr forms on its surface. Find the potential at every point in space. Check that the matching condition is satisfied at r = R

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