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 #456568 by ankor@dixie-net.com(22740)\"\" \"About 
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The electrical resistance of a wire varies directly as its length and inversely
\n" ); document.write( " as the square of its diameter.
\n" ); document.write( "A wire with a length of 200 inches and a diameter of one-quarter of an inch has
\n" ); document.write( " a resistance of 20 ohms.
\n" ); document.write( "Find the electrical resistance in a 500 inch wire with the same diameter.
\n" ); document.write( ":
\n" ); document.write( "let r = the resistance of a 500\" wire
\n" ); document.write( "Since resistance varies directly with length and the diameter is the same we can:
\n" ); document.write( "\"r%2F20\" = \"500%2F200\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "200r = 20*500
\n" ); document.write( "Divide thru by 20
\n" ); document.write( "10r = 500
\n" ); document.write( "r = 500/10
\n" ); document.write( "r = 50 ohms
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