document.write( "Question 750403: The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. A wire with a length of 200 inches and a diameter of one-quarter of an inch has a resistance of 20 ohms. Find the electrical resistance in a 500 inch wire with the same diameter. \n" ); document.write( "

Algebra.Com's Answer #456565 by josmiceli(19441) $\"\"$ $\"About$

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$\"+R+=+k%2AL%2A%28+1%2FD%29%5E2+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+20+=+k%2A200%2A%281%2F.25%29%5E2+\"$
\n" ); document.write( " $\"+20+=+k%2A200%2A16+\"$
\n" ); document.write( " $\"+k+=+20%2F%28+200%2A16+%29+\"$
\n" ); document.write( " $\"+k+=+.00625+\"$
\n" ); document.write( "-------------
\n" ); document.write( " $\"+R+=+k%2A500%2A%28+1%2F.25%29%5E2+\"$
\n" ); document.write( " $\"+R+=+.00625%2A500%2A%28+1%2F.25%29%5E2+\"$
\n" ); document.write( " $\"+R+=+3.125%2A16+\"$
\n" ); document.write( " $\"+R+=+50+\"$
\n" ); document.write( "The resistance is 50 ohms
\n" ); document.write( " \n" ); document.write( "

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