The characteristics of five wires are given in the table below: The gauge is a m

Question

The characteristics of five wires are given in the table below: The gauge is a measure of the diameter of the wire, and #18 corresponds to a diameter of 1.2x10^-3 m, and #22 corresponds to a diameter of 6.4 x 10^-4 m. The resistivity of iron is 9.7 x 10^-8, and the value of copper is 1.72 x 10^-8.

Which one of the wires carries the smallest current when they are connected to identical batteries?
**** I know the answer is not wire C, D, or E. The correct answer is either A or B. Help please! ****

Wire Material Length Gauge A iron 2.0 m #22 B copper 2.0 m #22 C copper 2.0 m #18 D copper 1.0 m #18 E iron 2.0 m #18

Explanation / Answer

According to the given problem,

Ans: Wire A:

From the given values in the table,

Wire A has Highest resistance R = 0.6 ohms, compared to other wires.

And all are connected to same voltage source, Using ohms law,

I = V/R,

I 1/R,

Where R = L/A and = resistivity, L= lenght , A = area.

I hope you understood the problem, If yes rate me!! or else comment for a better solution.

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