Question

A 100 meters long wire with diameter 2 millimeter is attached to a 6 Volts battery....

A 100 meters long wire with diameter 2 millimeter is attached to a 6 Volts battery. You measured that it draws current I = 11.2 amps.

a) What is the resistance

b) What is the resistivity of the wire

c) Is the resistivity close to any known metals. Compare with one type of material and find the percent error.

d) What happens to resistance and resistivity of the same wire if we cut the length in half.

Science   Physics   
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Homework Answers

Answer #1

Part A

The resistance of the wire is

Part B

The relation between resistance and resistivity is

Substituting our values, we get

Part C

This is closest to the resistivity of copper, which has a resistivity of .

The percent error is

Part D

The resistivity is an intrinsic quality of the material and does not depend on the dimensions. Therefore, it won't change when the length is halved.

However, the resistance depends on the length of the wore as see in the formula

If the length is halved, the resistance is halved.

The new resistance will be

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