A cylindrical capacitor has an inner conductor of radius 2.2 mm and an outer conductor of radius 3.5 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.8 m long. (a) What is the capacitance per unit length? (b) The potential of the inner conductor is 350 mV higher than that of the outer conductor. Find the charge (magnitude and sign) on both conductors. | Numerade
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SOLVED:A cylindrical capacitor is formed out of two coaxial pipes. The inner pipe has outer radius a, and the outer pipe has inner radius b. Find estimates for the capacitance per unit length by using the following trial functions: (i) ψ(r)=α(r-a), (ii) ψ(r)= α(r-a) β(r-a)^2. The functions depend only on the radial distance r, and αand βare to be adjusted so that ϕ(b)=1 ]. Compare with the exact result 1 / 2 ln(b / a) for various values of the ratio b / a. Figure 14.10. Cross section of square w
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