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5. a. Use the Laplace equation to determine the expression for the electric potential in the...

5.

a. Use the Laplace equation to determine the expression for the electric potential in the region between two concentric metal shells (spherical capacitor) of radii a and b (a Vo, and the outer shell is grounded. [the solution to the Laplace equation is spherical coordinates has the form V = -K1/r + K2]

b. From your answer in a), determine E⃗ .

c. From your answer in b), determine the surface charge density and the total charge on the surface at r = a.

d. What is the capacitance of this spherical capacitor?

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