document.write( "Question 814760: Hi there, I'm trying to solve R=(R1xR2)/(R1+R2) for R2 and can't seem to wrap my brain around it. Any help would be greatly appreciated. Thanks! \n" ); document.write( "
Algebra.Com's Answer #490506 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
What you have is the rule for finding the
\n" ); document.write( "equivalent resistor, \"+R+\", for 2 resistors
\n" ); document.write( "\"+R%5B1%5D+\" and \"+R%5B2%5D+\" in parallel.
\n" ); document.write( "---------------------------
\n" ); document.write( "\"+R+=+%28+R%5B1%5D%2AR%5B2%5D+%29+%2F+%28+R%5B1%5D+%2B+R%5B2%5D+%29+\"
\n" ); document.write( "Multiply both sides by \"+R%5B1%5D+%2B+R%5B2%5D+\"
\n" ); document.write( "\"+R%2A%28+R%5B1%5D+%2B+R%5B2%5D+%29+=+R%5B1%5D%2AR%5B2%5D+\"
\n" ); document.write( "\"+R%2AR%5B1%5D+%2B+R%2AR%5B2%5D+=+R%5B1%5D%2AR%5B2%5D+\"
\n" ); document.write( "Subtract \"+R%2AR%5B2%5D+\" from both sides
\n" ); document.write( "\"+R%2AR%5B1%5D+=+R%5B1%5D%2AR%5B2%5D+-+R%2AR%5B2%5D+\"
\n" ); document.write( "\"+R%2AR%5B1%5D+=+R%282%29%2A%28+R%5B1%5D+-+R+%29+\"
\n" ); document.write( "Divide both sides by \"+R%5B1%5D+-+R+\"
\n" ); document.write( "\"+R%5B2%5D+=+%28+R%2AR%5B1%5D+%29+%2F+%28+R%5B1%5D+-+R+%29+\"
\n" ); document.write( "Divide top and bottom of the right side by \"+R%5B1%5D+\"
\n" ); document.write( "\"+R%5B2%5D+=+R+%2F+%28%28+1+-+%28R%2FR%5B1%5D%29+%29%29+\" answer
\n" ); document.write( "-----------------------
\n" ); document.write( "check the answer:
\n" ); document.write( "\"+R+=+%28+R%5B1%5D%2AR%5B2%5D+%29+%2F+%28+R%5B1%5D+%2B+R%5B2%5D+%29+\"
\n" ); document.write( "Let \"+R%5B1%5D+=+4+\"
\n" ); document.write( "Let \"+R%5B2%5D+=+16+\"
\n" ); document.write( "\"+R+=+%28+4%2A16+%29+%2F+%28+4+%2B+16+%29+\"
\n" ); document.write( "\"+R+=+64%2F20+\"
\n" ); document.write( "\"+R+=+3.2+\"
\n" ); document.write( "-----------
\n" ); document.write( "\"+R%5B2%5D+=+R+%2F+%28%28+1+-+%28R%2FR%5B1%5D%29+%29%29+\"
\n" ); document.write( "\"+R%5B2%5D+=+3.2+%2F+%28+1+-+3.2%2F4+%29+\"
\n" ); document.write( "\"+R%5B2%5D+=+3.2+%2F+%28+1+-+3.2%2F4+%29+\"
\n" ); document.write( "\"+R%5B2%5D+=+3.2+%2F+%28+1+-+.8+%29+\"
\n" ); document.write( "\"+R%5B2%5D+=+3.2+%2F+.2+\"
\n" ); document.write( "\"+R%5B2%5D+=+16+\"
\n" ); document.write( "OK
\n" ); document.write( "
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