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Consider two long, parallel, and oppositely charged wires with linear charge density +λ and -λ of radius r with their centers separated by a distance D (D>>r).

Show all the work that goes into setting up an integral for E, ∆V and then finding C.

Show that the capacitance per unit length of this pair of wires is given by

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Q A solid cylindrical conductor of radius a and charge Q is coaxial with a cylindrical shell of negligible thickness, radius b> a, and charge - Q (Fig.1). Find the capacitance per unit length of two coaxial metal cylindrical tubes of radii a and b, and length L shown in the figure below. (1) 2.776, In (b) 2πε 278 (ii) Inb a (iii) 2776, In (%) απερ (iv) None of the above a L Fig. 1