A conducting sphere of radius 'a' has a constant electric potential at its surface equal to V(a,0) = kcos(20) where k is a constant and 0 is the usual spherical coordinate. Calculate the electric potential in the enclosed region consisting of everywhere outside of this conducting sphere. HINT: use the double angle identity cos(2x) = 2 cos²(x) — 1.

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A conducting sphere of radius 'a' has a constant electric potential at its surface equal to
V(a,0) = kcos(20) where k is a constant and 0 is the usual spherical coordinate. Calculate
the electric potential in the enclosed region consisting of everywhere outside of this conducting
sphere. HINT: use the double angle identity cos(2x) = 2 cos²(x) — 1.
Transcribed Image Text:A conducting sphere of radius 'a' has a constant electric potential at its surface equal to V(a,0) = kcos(20) where k is a constant and 0 is the usual spherical coordinate. Calculate the electric potential in the enclosed region consisting of everywhere outside of this conducting sphere. HINT: use the double angle identity cos(2x) = 2 cos²(x) — 1.
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