3. 1 points SerCP11 17.P.008. My Notes Ask Your Te An aluminum wire having a cro

Question

3. 1 points SerCP11 17.P.008. My Notes Ask Your Te An aluminum wire having a cross-sectional area of 4.90 x 10-6 m2 carries a current of 3.50 A. The density of aluminum is 2.70 g/cm3. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire. mm/s Need Help? Read" I O -2 points SerCP11 17 P020. My Notes Ask Your Teacher A rectangular block of copper has sides of length 11 cm, 24 cm, and 36 cm. If the block is connected to a 7.4 V source across two of its opposite faces, find the following. (a) What is the maximum current the block can carry? (b) What is the minimum current the block can carry? Need Help? RedWh

Explanation / Answer

Drift speed in a wire is given by:

Vd = I/(n*q*A)

I = current in wire = 3.50 Amp

q = charge on single electron = 1.6*10^-19 C

A = cross-sectional area = 4.90*10^-6 m^2

n = electrons per m^3 in aluminum

Na = 6.023*10^23 electrons/mole

Mw = Molecular weight of aluminum = 27 gm/mol

n = (2.70 gm/cm^3)*(10^6 cm^3/1 m^3)(1 mole/27 gm)(6.023*10^23 electrons/mole)

n = 6.023*10^28 electron/m^3

Now

Vd = 3.50/(6.023*10^28*1.6*10^-19*4.90*10^-6)

Vd = 7.41*10^-5 m/sec = 0.074*10^-3 m/sec

Vd = 0.074 mm/sec

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