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)![]() ![]() You can put this solution on YOUR website! 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( " \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 \n" ); document.write( " |