document.write( "Question 1125841: 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
\n" ); document.write( "I = 40 sin(110πt)
\n" ); document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #742142 by math_helper(2461) $\"\"$ $\"About$

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The maximum value of I will be $\"+highlight%28+40++%29\"$ amperes. You can see this by noting that sin(X) always outputs a number in the range [-1, 1].
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\n" ); document.write( "\n" ); document.write( "The time for one period is that value of t which gives $\"+110%28pi%29+t+=+2pi+\"$ (angles are in radians).
\n" ); document.write( " Solving this for t: $\"+highlight%28t+=+2%2F110+%29\"$ sec (about 0.0182 sec or 18.2ms) \n" ); document.write( "

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