Consider a point charge q at -d outside a grounded conducting sphere of radius R, 1 let the image charge be at z d. Show that the potential at any pe point outside the grounded sphere is dre Vr+- 2rd con 2. at r= R, we have v(r.0.6) = 0. Use = 0 and e-r to show that, for d >R>d Solution --9. R 3. show that the electric field outside the sphere is, dr (r + d² – 2rd cos @)/2d (r +² – 2rď cos 8)a/a
Consider a point charge q at -d outside a grounded conducting sphere of radius R, 1 let the image charge be at z d. Show that the potential at any pe point outside the grounded sphere is dre Vr+- 2rd con 2. at r= R, we have v(r.0.6) = 0. Use = 0 and e-r to show that, for d >R>d Solution --9. R 3. show that the electric field outside the sphere is, dr (r + d² – 2rd cos @)/2d (r +² – 2rď cos 8)a/a
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Transcribed Image Text:Consider a point charge q at :=d outside a grounded conducting sphere of radius R,
1. let the image charge be g' at :=d. Show that the potential at any point outside the grounded sphere is,
2. at r= R, we have u(r,0.6) = 0. Use 0 = 0 and e =r to show that,
for d> R>d
RR-d
-RR+d
Solution =-.
R
3. show that the electric field outside the sphere is,
Are (r + d – 2rd cos 8)/2 d (r² + d² – 2rď cos @)a/2
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