document.write( "Question 451569: The resistance of a wire to the transmission of electricity varies directly as the length of the wire and inversely as the square of the radius of a cross section of the wire. An 800m has a radius of 0.48cm and ha a resistance of 0.3125 ohms. if another wire made from the ame metal has a length of 500 m and a resistance of 0.5 ohms, what is the radius? \n" ); document.write( "
Algebra.Com's Answer #310510 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The resistance of a wire to the transmission of electricity varies directly as the length of the wire and inversely as the square of the radius of a cross section of the wire. \n" ); document.write( "---- \n" ); document.write( "r = kL/r^2 \n" ); document.write( "--- \n" ); document.write( "Solve for \"k\" using \"An 800m has a radius of 0.48cm and ha a resistance of 0.3125 ohms\". \n" ); document.write( "--- \n" ); document.write( "0.3125 = k*800/(0.48)^2 \n" ); document.write( "--- \n" ); document.write( "k = 0.00009 \n" ); document.write( "================= \n" ); document.write( "Equation: \n" ); document.write( "r = 0.00009L/r^2 \n" ); document.write( "---- \n" ); document.write( "If another wire made from the same metal has a length of 500 m and a resistance of 0.5 ohms, what is the radius? \n" ); document.write( "--- \n" ); document.write( "r = 0.00009*500/(0.5)^2 \n" ); document.write( "--- \n" ); document.write( "r = 0.18 ohms \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |