Metallic Spheres

Consider a system of three concentric metallic spheres with radii R1=10cm,R2=30cmR_{1}= 10 cm, R_{2}=30 cm and R3=40cmR_{3}=40 cm. The inner (R1R_{1}) and the outer (R3 R_{3} ) spheres are grounded (they are connected to a large conductor at zero potential ). The relation between the charge Q of the middle sphere and its potential V is linear Q=CselfV. Q= C_{self} V. The coefficient Cself C_{self} is called self-capacitance. Determine CselfC_{self} in Farads for the middle sphere.

Details and assumptions

k=14πϵ0=9×109m/F k=\frac{1}{4\pi \epsilon_{0}}= 9\times 10^{9} m/F

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