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In: Advanced Math

The surface of a spherical conductor of radius a is kept at a temperature of u(φ)=300K+50K...

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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