<p>A)What is the resistance of&#160;a&#160;<span style=\"white-space: nowrap;\">

Question

<p>A)What is the resistance of&#160;a&#160;<span>0.800</span>&#160;<img src="http://session.masteringphysics.com/render?units=m" alt="m" align="middle" /> long copper wire that is <span>0.300</span>&#160;<img src="http://session.masteringphysics.com/render?units=mm" alt="mm" align="middle" /> in diameter?</p>
<p><br /><br />B)What is the resistance of&#160;a&#160;<span>60.0</span>&#160;<img src="http://session.masteringphysics.com/render?units=cm" alt="cm" align="middle" /> long piece of carbon with a <span>1.90</span>&#160;<img src="http://session.masteringphysics.com/render?units=mm" alt="mm" align="middle" /> <img src="http://session.masteringphysics.com/render?tex=%5Ctimes" alt=" imes" align="middle" /> <span>1.90</span>&#160;<img src="http://session.masteringphysics.com/render?units=mm" alt="mm" align="middle" /> square cross section?</p>

Explanation / Answer

Resistance of a wire in
R = L/A
is resistivity of the material in -m
L is length in meters
A is cross-sectional area in m²
A = r², r is radius of wire in m
resistivity Cu 17.2e-9 -m

change the diameter to radius in meters, and plug the numbers into the formula.

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