1. The temperature of a spherical surface 0.2 m in diameter is maintained at a temperature of 250?C. This surface is interior to a very large mass. Find an expression for the temperature distribution inside and outside the surface.
2. The temperature on the surface of a 1-m-diameter sphere is 100 cos φ ?C. What is the temperature distribution inside the sphere?
3. Find the potential field between two concentric spheres if the potential of the outer sphere is maintained at V = 100 and the potential of the inner sphere is maintained at zero. The radii are 2 m and 1 m, respectively.