4-25. A cylindrical region with square cross section has the following potential distributions on its four walls: V = 0 at x = 0 and y 0 V=V,sin x x at y a a 2n V= V,sin "y at x = a a The interior region is free of charge. Find the potential inside the cylindrical space (0

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V=0 at x =0 and y 0
V=V,sin "x at y a
a
2n
V = V sin " y at x = a
a
The interior region is free of charge. Find the potential inside the cylindrical space (0 <x< a, 0<y<a).
HINT] Use the superposition of two boundary value problems.
Transcribed Image Text:V=0 at x =0 and y 0 V=V,sin "x at y a a 2n V = V sin " y at x = a a The interior region is free of charge. Find the potential inside the cylindrical space (0 <x< a, 0<y<a). HINT] Use the superposition of two boundary value problems.
(s)
4-25 V(x,y) = V, {sin
sinh
sinh
y
a
+ sin
2n
a
-X
sinh t
sinh (2n)
a
a
Transcribed Image Text:(s) 4-25 V(x,y) = V, {sin sinh sinh y a + sin 2n a -X sinh t sinh (2n) a a
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