Question

1- Two hollow parallel cylinders are placed next to each other as shown in the photo below. The first cylinder has a radius a, and cross sectional line charge density λ while the second cylinder has a radius a, with a cross sectional line charge density-λ . The distance between the centers of the two cylinders is given by d -λ a2 -1 a- Show that the capacitance per unit length is approximately given by C-T&In. where a is the geometric mean of the two radii. b- If the separation between the two wires is 1.5 cm, what wire gauge is needed to achieve a capacitance per unit length equal to 1.2x10 F/m c- If cylinder 2 is grounded, find again the value of the capacitance per unit length

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