The surface of a spherical conductor of radius a is kept at a temperature of u (φ) = 300K+50K cos (φ). The temperature inside is governed by the Laplace equation. Find an expression for the temperature everywhere inside the sphere. Evaluate the temperature at the center of the sphere.

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Jaelyn Williams

Mathematics

6 July, 23:38

The surface of a spherical conductor of radius a is kept at a temperature of u (φ) = 300K+50K cos (φ). The temperature inside is governed by the Laplace equation. Find an expression for the temperature everywhere inside the sphere. Evaluate the temperature at the center of the sphere.

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Dylan Allen · Answer 1

The surface of a spherical conductor of radius a is kept at a temperature of u (φ) = 300K+50K cos (φ). The temperature inside is governed by the Laplace equation. Find an expression for the temperature everywhere inside the sphere. Evaluate the temperature at the center of the sphere.