A copper wire has a cross sectional area A1 = 10-6m² and has a density of charge carriers of 1029 electrons/m³ . As shown in the figure, the copper wire is attached to an equal length of aluminum wire with a cross sectional area A2 = 4 x 10-8 m2, and density of charge carriers of 5 × 1028 electrons/m³. A current of 8 A flows through the copper wire. %3D Approximate resistivities of copper and aluminum are pCu = 2 x 10¬8 2.m and pAI = 3 × 10-8 2.m respectively.

University Physics Volume 2
18th Edition
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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...
Question
A copper wire has a cross sectional area A1 = 10-6 m² and has a density of charge carriers
of 1029 electrons/m³. As shown in the figure, the copper wire is attached to an equal
length of aluminum wire with a cross sectional area A2 = 4 x 10-8 m2 , and density of
charge carriers of 5 x 1028 electrons/m3. A current of 8 A flows through the copper wire.
Approximate resistivities of copper and aluminum are pcu = 2 × 10-82.m and PAL = 3 ×
10-8 2.m respectively.
Copper wire
Aluminum wire
--
L-
What is the current flowing through the Aluminum wire ?
What is the ratio of the drift velocities in the two wires vcu / VAI ?
What is the ratio of the resistances of the two wires RCu / Rai?
Transcribed Image Text:A copper wire has a cross sectional area A1 = 10-6 m² and has a density of charge carriers of 1029 electrons/m³. As shown in the figure, the copper wire is attached to an equal length of aluminum wire with a cross sectional area A2 = 4 x 10-8 m2 , and density of charge carriers of 5 x 1028 electrons/m3. A current of 8 A flows through the copper wire. Approximate resistivities of copper and aluminum are pcu = 2 × 10-82.m and PAL = 3 × 10-8 2.m respectively. Copper wire Aluminum wire -- L- What is the current flowing through the Aluminum wire ? What is the ratio of the drift velocities in the two wires vcu / VAI ? What is the ratio of the resistances of the two wires RCu / Rai?
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