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- A 0.900-V potential difference is maintained across a 1.50-m length of tungsten wire that has a cross-sectional area of 0.600 mm2. What is the current in the wire?Taking R = 1.00 k and = 250 V in Figure P21.49, determine the direction and magnitude of the current in the horizontal wire between a and e. Figure P21.49An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the absolute value of the charge density in the wire? (b) What is the drift velocity of the electrons? (c) What would be the drift velocity if the same gauge copper were used instead of aluminum? The density of copper is 8.96 g/cm3 and thedensity of aluminum is 2.70 g/cm3. The molar mass ofaluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron.
- Consider a wire of a circular cross-section with a radius of R = 3.00mm. The magnitude of the currentdensity is modeled as J=cr2=5.00106Am4r2 . Whatis the current through the inner section of the wire from the center to r = 0.5R?If the current carried by a conductor is doubled, what happens to (a) the charge carrier density, (b) the current density, (c) the electron drift velocity, and (d) the average time interval between collisions?A copper wire is dCu = 0.0500 cm in diameter, 3.00 m long, and has a charge carrier density of 8.50x10^28 electrons/m3. The copper wire is attached to an equal length of aluminum wire with diameter dAl = 0.0100 cm and charge carrier density of 6.02x10^28 electrons/m3. A current of 0.400 A flows through the copper wire. a. The ratio of current densities in the two wires, JCu/JAl is:___. b. The ratio of drift velocities in the two wires, vd–Cu/vd–Al is:____.
- When a current flows in an aluminum wire of diameter 4.67 mm,4.67 mm, the drift speed of the conduction electrons is 0.000149 m/s.0.000149 m/s. How many electrons are flowing past a given point each second? The conduction electron density in aluminum is 6.00×1028 m−3.What current flows through a 2.54-cm-diameter rod of pure silicon that is 20.0 cm long, when 1.00 X 103 V is applied to it? (Such a rod may be used to make nuclear-particle detectors, for example.)A cylindrical resistor of radius 5.0 mm and length 2.0 cm is made of material that has a resistivity of 3.5 * 10-5 ohm m.What are (a) the magnitude of the current density and (b) the potential difference when the energy dissipation rate in the resistor is 1.0W?
- A cylindrical conducting wire which is 342.57cm long, 85.39mm thick and resistivity of 3.13Ω.m, (a) has the resistance of R = ? If current I = 12.9A is generated by flowing of 217 electrons/m3 via a conductor, Then the electrons through this conductor (b) have a density J = ?and (c) are drifting at a speed of VD = ?A copper wire has a circular cross-section with a radius of1.25 mm. (a) If the wire carries a current of 3.70 A, findthe drift speed of electrons in the wire. (Take the density ofmobile charge carriers in copper to be n= 1.10 x 1029 electrons/m3.) (b) For the same wire size and current, find thedrift speed of electrons if the wire is made of aluminum withn= 2.11 x 1029 electrons/m3.A copper wire has a circular cross section with a radius of 2.36 mm. (a)If the wire carries a current of 3.68 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 ✕ 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 ✕ 1029 electrons/m3. m/s