document.write( "Question 209297: The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with diameter 0.01 inch has a resistance of 80 ohms, what is the resistance of 90 feet of the same type of wire if its diameter is 0.04 inch?\r
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Algebra.Com's Answer #158226 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
First, write the equation of variation for the resistance, R:
\n" ); document.write( "\"R+=+L%2Ak%2Fd%5E2\" where L = length of the wire, d = the diameter of the wire, and k = the constant of variation.
\n" ); document.write( "Now substitute the given values of L (100 ft.), R (80 ohms) and d (0.01 inch) in order to find the value of k.
\n" ); document.write( "\"80+=+100%2Ak%2F%280.01%29%5E2\"
\n" ); document.write( "\"k+=+80%280.01%29%5E2%2F100\"
\n" ); document.write( "\"k+=+0.00008\"
\n" ); document.write( "Now you can solve on the problem given:
\n" ); document.write( "\"R+=+L%2Ak%2Fd%5E2\" Substitute: k = 0.00008, L = 90, and d = 0.04
\n" ); document.write( "\"R+=+%2890%29%280.00008%29%2F%280.04%29%5E2\"
\n" ); document.write( "\"R+=+0.0072%2F0.0016\"
\n" ); document.write( "\"highlight%28R+=+4.5%29\"ohms.
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