The current in a 2.7 mm x 2.7 mm square aluminum wire is 2.70 AWhat are (a) the current density (MA/m^2) and (b) the electron drift speed (micrometers/second)?
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(a) To find current density (J), the equation is just J I / A, where I the current and A is the area of the surface In this case I 2.70 A and A isn't given, but you can find it using 2.7mm x 2.7mm Don't forget though to convert mm into m before dividing the current by area, to get m^2(1000mm 1m - 2.7mm 0.0027m) A 0.0027m(0.0027m) 7.29E-6 Thus, you have J (2.7A) / (7.29E-6) 370370.37 A/m^2But that's not the last step, because it wants units in MA/m^2, M 10E6, so (370370.37 A/m^2) / (10^6) 0.37037037 MA/m^2(b) The electron drift speed can be found using this equation: J nqv, where J is the density you just found, q the charge of an electron, and n the number of charges carried per unit volume v is the drift speed you are trying to find, sorry but I'm not sure how to find your n value without it given or without more information, I'll try to find out, but otherwise, good luck and I hope this gets you on track to finding it.
