document.write( "Question 1158658: The electrical resistance of a wire varies directly with its length (L) and varies inversely with the square of its diameter (D). If a certain wire is 6.25\" long and has a diameter of .25\", it has a resistance of 25 ohms. What is the resistance in ohms of a similar wire 40\" long and with a diameter of .4 inches? \n" ); document.write( "
Algebra.Com's Answer #781608 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+R+\" = resistance in ohms
\n" ); document.write( "Let \"+k+\" = constant of proportionality
\n" ); document.write( "----------------
\n" ); document.write( "\"+R+=+k%2A%28+L%2FD%5E2+%29+\"
\n" ); document.write( "\"+R+=+25+\" ohms
\n" ); document.write( "\"+L+=+6.25+\" in
\n" ); document.write( "\"+D+=+.25+\" in
\n" ); document.write( "----------------------
\n" ); document.write( "\"+25+=+k%2A%28+6.25+%2F+.25%5E2+%29+\"
\n" ); document.write( "\"+25+=+k%2A%28+6.25+%2F+.0625+%29+\"
\n" ); document.write( "\"+25+=+k+%2A+100+\"
\n" ); document.write( "\"+k+=+.25+\"
\n" ); document.write( "-----------------
\n" ); document.write( "\"+L+=+40+\"
\n" ); document.write( "\"+D+=+.4+\"
\n" ); document.write( "\"+R+=+k%2A%28+L%2FD%5E2+%29+\"
\n" ); document.write( "\"+R+=+.25%2A%28+40%2F.4%5E2+%29+\"
\n" ); document.write( "\"+R+=+.25%2A%28+40%2F.16+%29+\"
\n" ); document.write( "\"+R+=+.25%2A250+\"
\n" ); document.write( "\"+R+=+62.5++\" ohms
\n" ); document.write( "--------------------------
\n" ); document.write( "check my math & get a 2nd
\n" ); document.write( "opinion if needed\r
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