Assignment:
Calculate the capacitance of a spherical shell capacitor given two plates one charged at +Q coulombs at a radius (a) from the center another plate charges at -Q coulombs at a radius (b) from the center and given that:
The voltage at a region between the spherical shells is given by
V(r) = kQ/r (a > r > b)
PART A: Write an algebraic expression for the voltage developed between the plates at radii a and b. Your answer will include the parameters Q and a and b
PART B: Using the definition of capacitance derive an expression for the capacitance between the two spherical shells.
PART C: In your expresion for capacitance worked out in PART B work out the value of capacitance given that a = 0.08m, b = 0.10m. Express the answer in proper units.