An aluminium rod with square cross section is 1.3 m long and 3.8 mm on edge (1) What is the resistance between its ends? The resistivity of aluminium is 2.75 10-8 Q.m. (ii) What must be the diameter of a cylindrical copper rod of length 1.3 m if its resistance is to be the same as that of the aluminium rod? The resistivity of copper is 1.69 - 103Ω.m. (iii) Calculate the current (in A) and the current density (in A/m^2) of the cylindrical copper if the potential drop across the ends of the wire is 0.060 V.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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Question
An aluminium rod with square cross section is 1.3 m long and 3.8 mm on edge
) What is the resistance between its ends? The resistivity of aluminium is 2.75 - 10-8 Q.m.
(ii) What must be the diameter of a cylindrical copper rod of length 1.3 m if its resistance is to be the same as that of the aluminium rod? The resistivity of copper is 1.69
* 10-8 Q.m.
(iii) Calculate the current (in A) and the current density (in A/m^2) of the cylindrical copper if the potential drop across the ends of the wire is 0.060 V.
Select one:
a. (i) 3.27 x 10-30
(ii) 15.3 × 10-3 m
(iii) l= 18.3 A and J=1 x 105 A/m2
b. (i) 2.50 x 10-3n (i) 3.4 × 10-3 m
(iii) l= 24 A and J=2.64 x 10 A/m2
c. (i) 2.50 x 10-3
(ii) 3.4 x 10-3 m
(iii) l= 24 A and J=2.08 x 106 A/m2
d. (i) 3.27 x 10-3
(ii) 8.14 x 10-3 m
(iii) l= 18.3 A and J=2.64 x 106 A/m2
Transcribed Image Text:An aluminium rod with square cross section is 1.3 m long and 3.8 mm on edge ) What is the resistance between its ends? The resistivity of aluminium is 2.75 - 10-8 Q.m. (ii) What must be the diameter of a cylindrical copper rod of length 1.3 m if its resistance is to be the same as that of the aluminium rod? The resistivity of copper is 1.69 * 10-8 Q.m. (iii) Calculate the current (in A) and the current density (in A/m^2) of the cylindrical copper if the potential drop across the ends of the wire is 0.060 V. Select one: a. (i) 3.27 x 10-30 (ii) 15.3 × 10-3 m (iii) l= 18.3 A and J=1 x 105 A/m2 b. (i) 2.50 x 10-3n (i) 3.4 × 10-3 m (iii) l= 24 A and J=2.64 x 10 A/m2 c. (i) 2.50 x 10-3 (ii) 3.4 x 10-3 m (iii) l= 24 A and J=2.08 x 106 A/m2 d. (i) 3.27 x 10-3 (ii) 8.14 x 10-3 m (iii) l= 18.3 A and J=2.64 x 106 A/m2
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