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A team of storm physicists is attempting to replicate lightning earning by charging two long cables stretched over a canyon, as shown. One cable will

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A team of storm physicists is attempting to replicate lightning earning by charging two long cables stretched over a canyon, as shown. One cable will attain a highly positive and uniform charge density of + 1, and the other will attain the same amount of charge density but opposite in sign (i.e., -1). Since the appearance of lightning directly depends on the electric field strength created by charge separation, they must derive an expression for electric field strength between the two cables. The cables are sufficiently long to be approximated as infinitely long. Calculate the magnitude of the electric field strength E between the two cables as a function of 1 (the linear charge E = density) and r (the distance from the positively charged cable). Use co as the permittivity of free space, and assume the wires are separated by a distance D. If the value of the linear charge density is 1 = 30.5 pC/m and the distance between the two cables is D = 40.5 m, calculate Emid = N/C the electric field Emid midway between the two cables. TOOLS x10

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