document.write( "Question 177474: A series ac circuit has R=3.70 ohms, Xl=5.97 ohms, and Xc=7.90 ohms. Find the impedance,and the phase angle between the current and the voltage. \n" ); document.write( "

Algebra.Com's Answer #132583 by Fombitz(32388) $\"\"$ $\"About$

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The formula for impedance Z is given by,
\n" ); document.write( " $\"Z=sqrt%28R%5E2%2B%28X%5Bl%5D-X%5Bc%5D%29%5E2%29\"$
\n" ); document.write( " $\"Z=sqrt%283.7%5E2%2B%285.97-7.9%29%5E2%29\"$
\n" ); document.write( " $\"Z=sqrt%2813.69%2B3.7249%29\"$
\n" ); document.write( " $\"Z=sqrt%2817.4149%29\"$
\n" ); document.write( " $\"Z=4.17\"$
\n" ); document.write( "The impedance is 4.17 ohms.
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\n" ); document.write( "The phase angle $\"alpha\"$ is given by,
\n" ); document.write( " $\"tan%28alpha%29=%28X%5Bl%5D-X%5Bc%5D%29%2FR\"$
\n" ); document.write( " $\"tan%28alpha%29=%28-1.93%2F3.7%29\"$
\n" ); document.write( " $\"tan%28alpha%29=-0.522\"$
\n" ); document.write( " $\"alpha=-27.5\"$
\n" ); document.write( "Voltage lags current by 27.5 degrees. \n" ); document.write( "

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