a-d? Monster cable. A set of audio speaker cables is composed of two copper wire

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a-d?

Monster cable. A set of audio speaker cables is composed of two copper wires (diameter d - 4mm), separated by s = 6 111111 center-to-center and embedded in dielectric material with dielectric constant epsilon = 2.9 epsilon 0. (Take mu = mu 0.) (a) Using the formulas appropriate for this geometry: capacitance per unit length C=pi epsilon / cosh-1(s/d) and inductance per unit length L =mu /pi cosh-1 characteristic impedance Z0 of this cable; (b) Calculate the skin depth at 20 Hz and 20 KHz, and the effective area of the wires at 20 Hz and 20 KHz assuming the current flows entirely within 1 skin depth of the outer diameter of the wires; (c) Assuming the cables are 2m in length, calculate the resistance of each wire in the pair at 20 Hz and 20 KHz using the areas found above; (d) Which impedance, the characteristic impedance or the resistance of the copper, is the appropriate one for calculating the power delivered to 8-ohm speakers and why? Does the skin effect make an important change in the power delivered to the speakers?

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