part 2 part 3 part 1 5.0 Points What is the resistance of a cylindrical wire of

Question

part 2

part 3

part 1 5.0 Points What is the resistance of a cylindrical wire of the same dimensions made of Aluminum? A. 0.0160 ? B. 0.220 ? C. 0.0220 ? D. 0.0170 ? E. 0.0270 ? Reset Selection

part 2

5.0 Points For the copper wire, what will the resistance be if the length of the wire were tripled? A. 0.00567 ? B. 0.0510 ? C. 0.0340 ? D. 0.00850 ? E. 0.0680 ? Reset Selection

part 3

5.0 Points For the copper wire, what will the resistance be if the cross section were tripled? A. 0.00850 ? B. 0.00567 ? C. 0.153 ? D. 0.0510 ? E. 0.00189 ?

Explanation / Answer

PART (1) rho of Al = 2.82 x 10^-8 ohm - m

rho of Cu = 1.68 x 10^-8  ohm - m

Rcu = rho L/A = 1.68 x 10^-8 x L/A

L/A = .017 / (1.68 x 10^-8)

L/A = 1011904.76

Now

Ral = rho L/A = 2.82 x 10^-8 x 1011904.76

Ral = .028 ohm (option E)

PART(2) R = rho L/A = .017 ohm

R' = rho 3L / A = 3 rho L/A = 3 x .017

R' = .051 ohm (option B)

PART(3) R = rho L/A = .017

R" = rho L / 3A

R" = (1/3) rho L/A

R" = (1/3) x .017

R" = .0056 ohm (option B)

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