A metallic sphere of radius 'r' and carrying a charge 'q' is enclosed by a dielectric shell of thickness 'd', outer radius r2, and relative permittivity ɛ. The medium elsewhere is air. The potential V(r) forr>r, is

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A metallic sphere of radius 'r' and carrying a charge 'q' is enclosed by a dielectric shell of
thickness 'd', outer radius r, and relative permittivity ɛ. The medium elsewhere is air. The
potential V(r) for r>r, is
9 (r2+(ɛ-1)r)
r r2
4πεο
d+Er2
+
ri r2
4περ
(d+Er2+
4περ
r r2
Transcribed Image Text:A metallic sphere of radius 'r' and carrying a charge 'q' is enclosed by a dielectric shell of thickness 'd', outer radius r, and relative permittivity ɛ. The medium elsewhere is air. The potential V(r) for r>r, is 9 (r2+(ɛ-1)r) r r2 4πεο d+Er2 + ri r2 4περ (d+Er2+ 4περ r r2
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