document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=414085>Question 414085</A>: <I><SPAN STYLE=\"word-break: break-all;\">  The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. If a wire with length 100cm and diameter 2 mm has a resistance of 1.5 Ohms, find the resistance of a wire with length 300cm and diameter 3mm.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I tried to find something similar to this in my textbook and couldn't. My guess was that the formula to use would be r=k(L/D^2), then solve for k which would be the constant. Once I have solved for k I can plug the new length and diameter into the formula and solve for r, am I on the right track? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #290463 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=290463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. If a wire with length 100cm and diameter 2 mm has a resistance of 1.5 Ohms, find the resistance of a wire with length 300cm and diameter 3mm. \r<BR>\n" );
document.write( "\n" );
document.write( "---<BR>\n" );
document.write( "r = k*L/d^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"k\" using \"If a wire with length 100cm <BR>\n" );
document.write( "and diameter 2 mm has a resistance of 1.5 Ohms\".<BR>\n" );
document.write( "----<BR>\n" );
document.write( "1.5 = k*100/2^2<BR>\n" );
document.write( "100k = 6<BR>\n" );
document.write( "k = 0.06<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Equation for this problem: <BR>\n" );
document.write( "r = 0.06*L/d^2<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Now \"find the resistance of a wire with length 300cm and diameter 3mm\". <BR>\n" );
document.write( "r = 0.06*300/3^2<BR>\n" );
document.write( "r = 0.06*100/3<BR>\n" );
document.write( "r = 2 Ohms<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );