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An aluminum wire carrying a current of 5.0 A has a cross-sectional area of 9e-06

ID: 1736576 • Letter: A

Question

An aluminum wire carrying a current of 5.0 A has a cross-sectional area of 9e-06 m2. Find the drift speed of theelectrons in the wire. The density of aluminum is 2.7g/cm3. (Assume three electrons are supplied by eachatom.)
not sure whats up with the -06 exponent... An aluminum wire carrying a current of 5.0 A has a cross-sectional area of 9e-06 m2. Find the drift speed of theelectrons in the wire. The density of aluminum is 2.7g/cm3. (Assume three electrons are supplied by eachatom.)
not sure whats up with the -06 exponent...

Explanation / Answer

Given that An aluminum wire carrying a current of (I) =5.0 A Cross-sectional area is(A) =9*10-6m2 The number of charges is (n)=8.46*1028electrons/m3 Charge of the electron (q) = 3e                                        = 3(1.6*10-19C)                                        = 4.8*10-19C We know that the current in the conductor is                                      I = nqvdA Then the drift speed is (vd) = I/nqA Now substitute all the above values you get the requiredanswer The number of charges is (n)=8.46*1028electrons/m3 Charge of the electron (q) = 3e                                        = 3(1.6*10-19C)                                        = 4.8*10-19C We know that the current in the conductor is                                      I = nqvdA Then the drift speed is (vd) = I/nqA Now substitute all the above values you get the requiredanswer
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