My professor has assigned us homework on a topic (capacitors) that we have not c

Question

My professor has assigned us homework on a topic (capacitors) that we have not covered yet, and to which he said he wouldn't test us on. Yet, my required homework is below. Any help would be greatly appreciated!!

"A capacitor is constructed of two concentric conducting cylindrical shells. The radius of the inner cylindrical shell is 2.27 10-3 m, and that of the outer shell is 2.41 10-3 m. When the cylinders carry equal and opposite charges of magnitude 1.84 10-10 C, the electric field between the plates has an average magnitude of 4.05 104 V/m and is directed radially outward from the inner shell to the outer shell.
(a) Determine the magnitude of the potential difference between the cylindrical shells.
______________ V

(b) Determine the capacitance of this capacitor.
_______________ F"

Explanation / Answer

a) V = E*r = 4.05x10^4*(2.41x10^-3 - 2.27x10^-3) = 5.67V

b) C = q/v = 1.84x10^-10/5.67 = 3.24514991 × 10-11 F

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