Household wiring composed of aluminum wire with cross-section area 3.1 x10 6 m 2

Question

Household wiring composed of aluminum wire with cross-section area 3.1 x106 m2 carries a current of 2.5 A. Aluminum metal provides 1.82 x1029 free electrons per m3. At what speed are the electrons traveling in this power line?
a)1.6 x103 m/s.
b)1.4 x104 m/s.
c)2.8 x105 m/s
d)3.3 x106 m/s

An electron-positron pair is created in a collision of two high-energy protons. The electron flies out at 3.1 x107 m/s, perpendicular to a confining magnetic field of 0.024 T. What will be the radius of the electron's orbit? The mass of an electron is 9.1 x1031 kg.
a) 0.45mm
b)73mm
c)7.3 mm
d) 45mm

Explanation / Answer

Current, I = neAvd

=> electron speed, vd = I/neA = (2.5 A)/[(1.82*1029 m-3)(1.6*10-19 C)(3.1*10-6 m2)] = 2.8 * 10-5 m/s

Hence, correct answer is option (C)

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