Hey how would I solve this? A capacitor is constructed of two concentric conduct

Question

Hey how would I solve this? A capacitor is constructed of two concentric conductingcylindrical sheels. The radius of the inner cylindrical shell is2.35 x 10-3 m, and that of the outer shell is 2.53 x10-3 m. When the cylinders carry equal and oppositecharges of magnitude 2.1 x 10-10 C, the electric fieldbetween the plates has an average magnitude of 3.3 x 104V/m and is directed radially outward from the inner shell to theouter shell. Determine (a) the magnitude of thepotential difference between the cylindrical shells and(b) the capacitance of this capacitor.
Thanks! Hey how would I solve this? A capacitor is constructed of two concentric conductingcylindrical sheels. The radius of the inner cylindrical shell is2.35 x 10-3 m, and that of the outer shell is 2.53 x10-3 m. When the cylinders carry equal and oppositecharges of magnitude 2.1 x 10-10 C, the electric fieldbetween the plates has an average magnitude of 3.3 x 104V/m and is directed radially outward from the inner shell to theouter shell. Determine (a) the magnitude of thepotential difference between the cylindrical shells and(b) the capacitance of this capacitor.
Thanks!

Explanation / Answer

Given that     a = 2.35 x 10-3 m     b = 2.53 x 10-3 m.     q = 2.1 x 10-10 C     E = 3.3 x 104 V/m     d = (2.53 - 2.35) x 10-3 m = 0.18 x10-3 m (a) We know that            V = E d                = 3.3 x 104 * 0.18 x 10-3 = 5.94 V (b) C = q / V = 2.1 x 10-10 / 5.94                         = 35.35 pF

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