document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92734>Question 92734</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh>Algebra and Trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms. What is the resistance of a piece of wire 60 meters long and 1.2 centimeters in diameter made from the same material? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67508 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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/cgi-bin/show-face.mpl?user=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=67508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B1%5D+=+k%5B1%5DL%5B1%5D%2Fd%5B1%5D%5E2 ALIGN=MIDDLE  ALT=\"R%5B1%5D+=+k%5B1%5DL%5B1%5D%2Fd%5B1%5D%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ___________  (1)<BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B1%5D ALIGN=MIDDLE  ALT=\"R%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in Ohm) = resistance of the first electrical wire of length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D ALIGN=MIDDLE  ALT=\"L%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in metre) and diameter = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in centimetre) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5B1%5D ALIGN=MIDDLE  ALT=\"k%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = constant of variation with appropriate units\r<BR>\n" );
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document.write( "Similarly, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B2%5D+=+k%5B2%5DL%5B2%5D%2Fd%5B2%5D%5E2 ALIGN=MIDDLE  ALT=\"R%5B2%5D+=+k%5B2%5DL%5B2%5D%2Fd%5B2%5D%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > __________ (2)<BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B2%5D ALIGN=MIDDLE  ALT=\"R%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in Ohm) = resistance of the second electrical wire of length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B2%5D ALIGN=MIDDLE  ALT=\"L%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in metre) and diameter = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in centimetre) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5B2%5D ALIGN=MIDDLE  ALT=\"k%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = constant of variation with appropriate units\r<BR>\n" );
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document.write( "Dividing equation (1) by equation (2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B2%5D%2FR%5B1%5D+=+%28k%5B2%5DL%5B2%5Dd%5B1%5D%5E2%29%2F%28k%5B1%5DL%5B1%5Dd%5B2%5D%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As both the wires are of same material <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5B1%5D+=+k%5B2%5D ALIGN=MIDDLE  ALT=\"k%5B1%5D+=+k%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B2%5D%2FR%5B1%5D+=+%28L%5B2%5Dd%5B1%5D%5E2%29%2F%28L%5B1%5Dd%5B2%5D%5E2%29 ALIGN=MIDDLE  ALT=\"R%5B2%5D%2FR%5B1%5D+=+%28L%5B2%5Dd%5B1%5D%5E2%29%2F%28L%5B1%5Dd%5B2%5D%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > _________ (3)\r<BR>\n" );
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document.write( "Here <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D+=+20 ALIGN=MIDDLE  ALT=\"L%5B1%5D+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+0.6 ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B1%5D+=+36 ALIGN=MIDDLE  ALT=\"R%5B1%5D+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B2%5D+=+60 ALIGN=MIDDLE  ALT=\"L%5B2%5D+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+1.2 ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then, from substituting these values in equation (3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B2%5D%2F36+=+%2860%2A0.6%5E2%29%2F%2820%2A1.2%5E2%29 ALIGN=MIDDLE  ALT=\"R%5B2%5D%2F36+=+%2860%2A0.6%5E2%29%2F%2820%2A1.2%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B2%5D%2F36+=+3%2F4 ALIGN=MIDDLE  ALT=\"R%5B2%5D%2F36+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B2%5D+=+%283%2A36%29%2F4 ALIGN=MIDDLE  ALT=\"R%5B2%5D+=+%283%2A36%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5B2%5D+=+27 ALIGN=MIDDLE  ALT=\"R%5B2%5D+=+27\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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