document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=821461>Question 821461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> been trying to figure this out for 2 days now.\r<BR>\n" );
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document.write( "26. When  an  r-f tank  is operating within    10  per  cent  of  its  resonance frequency, the impedance of the tank  can be found  by the formula\r<BR>\n" );
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document.write( " \"Z= Zr divided by the square root of 1+4Q^2(F-Fr/Fr)^2 \"  \r<BR>\n" );
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document.write( "where z,. is the impedance of the tank at resonance, F is the  operating frequency, and  FR is the  resonant frequency.  What  is the impedance\r<BR>\n" );
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document.write( "of the tank  if its  impedance at  the  resonant frequency,  150MHz,  is<BR>\n" );
document.write( "60,000ohm and  the  Q of  the  tank  is  125?    The  tank  is  operating at<BR>\n" );
document.write( "142.5 MHz.  F and  FR are in hertz and  Zr  is in ohms.\r<BR>\n" );
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document.write( "... for some reason my formula won't copy. so i put it in \" \" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494195 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=494195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I suspect the formula you meant is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z=Z%5Br%5D%2Fsqrt%281%2B4Q%5E2%28%28F-F%5Br%5D%29%2FF%5Br%5D%29%5E2%29 ALIGN=MIDDLE  ALT=\"Z=Z%5Br%5D%2Fsqrt%281%2B4Q%5E2%28%28F-F%5Br%5D%29%2FF%5Br%5D%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "With <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q=125 ALIGN=MIDDLE  ALT=\"Q=125\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z%5Br%5D=60000ohm ALIGN=MIDDLE  ALT=\"Z%5Br%5D=60000ohm\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5Br%5D=150MHz ALIGN=MIDDLE  ALT=\"F%5Br%5D=150MHz\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=142.5MHz ALIGN=MIDDLE  ALT=\"F=142.5MHz\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z=60000ohm%2Fsqrt%281%2B4%2A125%28%28142.5-150%29%2F150%29%5E2%29 ALIGN=MIDDLE  ALT=\"Z=60000ohm%2Fsqrt%281%2B4%2A125%28%28142.5-150%29%2F150%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z=6000ohm%2Fsqrt%281%2B500%287.5%2F150%29%5E2%29 ALIGN=MIDDLE  ALT=\"Z=6000ohm%2Fsqrt%281%2B500%287.5%2F150%29%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=Z=60000ohm%2Fsqrt%281%2B500%2A0.5%5E2%29 ALIGN=MIDDLE  ALT=\"Z=60000ohm%2Fsqrt%281%2B500%2A0.5%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=Z=60000ohm%2Fsqrt%281%2B500%2A0.0025%29 ALIGN=MIDDLE  ALT=\"Z=60000ohm%2Fsqrt%281%2B500%2A0.0025%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z=6000ohm%2Fsqrt%281%2B1.25%29 ALIGN=MIDDLE  ALT=\"Z=6000ohm%2Fsqrt%281%2B1.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z=60000ohm%2Fsqrt%282.25%29 ALIGN=MIDDLE  ALT=\"Z=60000ohm%2Fsqrt%282.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z=60000ohm%2F1.5 ALIGN=MIDDLE  ALT=\"Z=60000ohm%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z=40000ohm ALIGN=MIDDLE  ALT=\"Z=40000ohm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "NOTE:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28F-F%5Br%5D%29%2FF%5Br%5D ALIGN=MIDDLE  ALT=\"%28F-F%5Br%5D%29%2FF%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28F-F%5Br%5D%29 ALIGN=MIDDLE  ALT=\"%28F-F%5Br%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2F%22 ALIGN=MIDDLE  ALT=\"%22%2F%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5Br%5D ALIGN=MIDDLE  ALT=\"F%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When you can write is as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28F-F%5Br%5D%29%2FF%5Br%5D ALIGN=MIDDLE  ALT=\"%28F-F%5Br%5D%29%2FF%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > , those brackets are included in the horizontal line.<BR>\n" );
document.write( "Typing the formula in one line without without those brackets gives it a different meaning:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F-F%5Br%5D ALIGN=MIDDLE  ALT=\"F-F%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2F%22 ALIGN=MIDDLE  ALT=\"%22%2F%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5Br%5D ALIGN=MIDDLE  ALT=\"F%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F-F%5Br%5D%29%2FF%5Br%5D ALIGN=MIDDLE  ALT=\"F-F%5Br%5D%29%2FF%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and that is a big problem when entering calculations into a computer or calculator. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );