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- 1. The current supplied to an air conditioner unit is 4.5 amps. The air conditioner is wired using a 10- electrons gauge (diameter 2.588 mm) wire. The charge density of the wire is n= 8.48 1028 m³ Find the magnitude of (a) current density and JD m² (b) the drift velocity. S. <飞What is the current in a wire of radius R = 2.08 mm if the magnitude of the current density is given by (a) Ja = Jor/R and (b) Jp = Jo(1 - r/R) in which r is the radial distance and Jo = 8.05 × 104 A/m2? (c) Which function maximizes the current density near the wire's surface? (a) Number i Units (b) Number i Units (c)The quantity of charge q (in coulombs) that has passed through a surface of area 1.95 cm² varies with time according to the equation q = 6t³ + 3t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 0.950 s? 19.245 ✔A (b) What is the value of the current density? 987 X What is the relationship between current and current density? kA/m²
- The quantity of charge q (in coulombs) that has passed through a surface of area 2.05 cm2 varies with time according to the equation q = 4t3 + 3t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.10 s? A (b) What is the value of the current density? KA/m2A 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/sthis problems is giving me hard time
- 115V is applied across a wire with a radius of 0.400mm. The wire is 10.0m long and has a current density of 1.2x10^8 A/m^2. Find (a) the resistivity of the wire (b) the resistance of the wire (c) the current through the wire (d) the new current through the wire when the current density now varies with radius, J = (1.20x10^8) x r^2 A/m^2, where J is in A/m^2 and r is in meters.A wire 3.43 m long and 6.38 mm in diameter has a resistance of 11.6 mQ. A potential difference of 17.7 V is applied between the ends. (a) What is the current in amperes in the wire? (b) What is the magnitude of the current density? (c) Calculate the resistivity of the material of which the wire is made. (a) Number Units (b) Number i Units (c) Number i Units >A beam contains 2.7 x 109 doubly charged positive ions per cubic centimeter, all of which are moving north with a speed of 4.9 × 105 m/s. What is (a) the magnitude of the current density and (b) direction of the current density . (c) What additional quantity do you need to calculate the total current i in this ion beam? (a) Number Units A/m^2 to the north (b) cross-sectional area of ion beam (c) Use correct number of significant digits; the tolerance is +/-1 in the 2nd significant digit