For an infinitely long conducting cylinder of radius a, with its axis coincident with its z-axis, the voltage u(r, 0) obeys the Laplace equation v²u =0, Osrs0o, 0s0S 2n Find the voltage u(r, 0) for r2a if Lt u(r,0) = 0, subject to the condition du 2sin 30 dr а

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10. For an infinitely long conducting cylinder of radius a, with its axis coincident with
its z-axis, the voltage u(r, 0) obeys the Laplace equation
v²u =0,
Osrs0o, 0s0 < 27
Find the voltage u (r, 0) for 'r> a if Lt u(r,0) = 0, subject to the condition
r00
du
"0 sin 30
dr
a
Transcribed Image Text:10. For an infinitely long conducting cylinder of radius a, with its axis coincident with its z-axis, the voltage u(r, 0) obeys the Laplace equation v²u =0, Osrs0o, 0s0 < 27 Find the voltage u (r, 0) for 'r> a if Lt u(r,0) = 0, subject to the condition r00 du "0 sin 30 dr a
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