The current supplied to an air conditioner unit is 4.20 amps. The air conditioner is wired using a 10-gauge (diameter 2.588 mm) wire. The charge density is n = 8.48 x 1028 electrons/m³. Find the following magnitudes. (a) current density (in A/m²) A/m² (b) the drift velocity (in m/s) m/s
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- A copper wire has a circular cross section with a radius of 1.66 mm. HINT (a) If the wire carries a current of 3.18 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge carriers in copper to be n = 1.10 x 102⁹ electrons/m³.) m/s (b) For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 x 1029 electrons/m³. m/sAn aluminum wire with a diameter of 0.125 mm has a uniform electric field of 0.195 V/m imposed along its entire length. The temperature of the wire is 35.0°C. Assume one free electron per atom. (a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in Ω · m) of aluminum at this temperature. (b) What is the current density (in MA/m2) in the wire? J =----- MA/m2 (c) What is the total current (in mA) in the wire? I =--------- mA (d) What is the drift speed of the conduction electrons? vd = ------µm/s (e) What potential difference must exist between the ends of a 1.70 m length of the wire to produce the stated electric field? ΔV = --------- Vthis problems is giving me hard time
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