L₁D₁L₂D2Aluminum has a resistivity of p = 2.65 × 10 8 2. m. An aluminum wire is L = 2.00 m long and has acircular cross section that is not constant. The diameter of the wire is D₁ = 0.17 mm for a length ofL₁ = 0.500 m and a diameter of D2 = 0.24 mm for the rest of the length.a) What is the resistance of this wire?R =HintA potential difference of AV = 1.40 V is applied across the wire.b) What is the magnitude of the current density in the thin part of the wire?HintJ1=c) What is the magnitude of the current density in the thick part of the wire?J₂ =d) What is the magnitude of the electric field in the thin part of the wire?E1=Hinte) What is the magnitude of the electric field in the thick part of the wire?E2=

Step 1:Let's go step by step to determine the required values. Given Data: Resistivity of aluminum:…

Answered: L₁ D₁ L₂ D2 Aluminum has a resistivity…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

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Chapter9: Current And Resistance

Section: Chapter Questions

Problem 28P: An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the...

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An 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.
A 10.00-meter long wire cable that is made of copper has a resistance of 0.051 ohms, (a) What is the weight if the wire was made of copper? (b) What is the weight of a 10.00-meter-long wire of the same gauge made of aluminum? (c)What is the resistance of the aluminum wire? The density of copper is 8960 kg/m3 and the density of aluminum is 2760 kg/m3.
Unreasonable Results (a) What current is needed to transmit 1.00 102 MW of power at 10.0kV? (b) Find the resistance of 1.00 km of wire that would cause a 0.0100% power loss. (c) What is the diameter of a 1.00-km-long copper wire having this resistance? (d) What is unreasonable about these results? (e) Which assumptions are unreasonable, or which premises are inconsistent?
Explain why R=R0(1 + a?T) for the temperature variation of the resistance R of an object is not as accurate as P=P0(1 + a?T) which gives the temperature variation of resistivity P.
Figure P29.45 shows five resistors connected between terminals a and b. a. What is the equivalent resistance of this combination of resistors? b. What is the current through each resistor if a 24.0-V battery is connected across the terminals?
A 20.00-V battery is used to supply current to a 10-k resistor. Assume the voltage drop across any wires used for connections is negligible, (a) What is the current through the resistor? (b) What is the power dissipated by the resistor? (c) What is the power input from the battery; assuming all the electrical power is dissipated by the resistor? (d) What happens to the energy dissipated by the resistor?
The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm2 varies with time according to the equation q = 4t3 + 5t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.00 s? (b) What is the value of the current density?
A battery has an emf of 15.0 V. The terminal voltage of the battery is 11.6 V when it is delivering 20.0 W of power to an external load resistor R. (a) What is the value of R? (b) What is the internal resistance of the battery?
Wire B has twice the length and twice the radius of wire A. Both wires are made from the same material. If wire A has a resistance R, what is the resistance of wire B? (a) 4R (b) 2R (c) R (d) 12R (e) 14R
A conducting material with resistivity is shaped into a wire of length ( with a tapered cross section that decreases from radius r1 on the left end to r2 on its right end (Fig. F28.82). If the current density in the wire is a constant as a function of the horizontal distance x along the wire, what is the resistance of this tapered wire?
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?
The resistance between terminals a and b in Figure P27.36 is 75.0 . If the resistors labeled R have the same value, determine R. Figure P27.36

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