A capacitor is made from two hollow, coaxial, iron cylinders, one inside the oth

Question

A capacitor is made from two hollow, coaxial, iron cylinders, one inside the other. The inner cylinder is negatively charged and the outer is positively charged; the magnitude of the charge on each is 18.5 pC . The inner cylinder has a radius of 0.700 mm , the outer one has a radius of 7.00 mm , and the length of each cylinder is 20.0 cm . What is the capacitance? Use 8.854×1012 F/m for the permittivity of free space. What applied potential difference is necessary to produce these charges on the cylinders?

Explanation / Answer

According to the question we need to use the formula for part a)

C = 2 * 3.14 * 8.85 * 10 ^ -12 * 0.20 m / ln ( 7.00 mm / 0.700 mm )

C = 4.82744 pF =========answer) Part a)

V=Q/C = 18.5 pC / 4.82744 pF = 3.83225 V ======answer) Part b)

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