document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=733714>Question 733714</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by <BR>\n" );
document.write( "I = 10 sin(100&#960;t)where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle.<BR>\n" );
document.write( "I =______ amp <BR>\n" );
document.write( "t= ______ sec<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #448576 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=448576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The maximum value of the Sin function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+ ALIGN=MIDDLE  ALT=\"+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so the maximum value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+I+=+10%2Asin%28+100%2Api%2At+%29+ ALIGN=MIDDLE  ALT=\"+I+=+10%2Asin%28+100%2Api%2At+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2A1+=+8+ ALIGN=MIDDLE  ALT=\"+8%2A1+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+0+ ALIGN=MIDDLE  ALT=\"+t+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2Asin%28+100%2Api%2A0+%29+=+10%2Asin%280%29+ ALIGN=MIDDLE  ALT=\"+10%2Asin%28+100%2Api%2A0+%29+=+10%2Asin%280%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2Asin%280%29+=+0+ ALIGN=MIDDLE  ALT=\"+10%2Asin%280%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After 1 cycle, at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+2%2F100+ ALIGN=MIDDLE  ALT=\"+t+=+2%2F100+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2Asin%28+100%2Api%2A%282%2F100%29+%29+=+10%2Asin%28+2%2Api+%29+ ALIGN=MIDDLE  ALT=\"+10%2Asin%28+100%2Api%2A%282%2F100%29+%29+=+10%2Asin%28+2%2Api+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2Asin%28+2%2Api+%29+=+0+ ALIGN=MIDDLE  ALT=\"+10%2Asin%28+2%2Api+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the time to go through 1 cycle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2F100+=+.02+ ALIGN=MIDDLE  ALT=\"+2%2F100+=+.02+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec\r<BR>\n" );
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