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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Mathematics

Blaine Baxter

15 May, 02:20

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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Elle Mays · 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.