document.write( "Question 1151080: Given the equivalent impedance of a circuit can be calculated by the expression
\n" ); document.write( "𝑍=𝑍1*𝑍2/𝑍1+𝑍2
\n" ); document.write( "If 𝑍1=4𝑗+6 and 𝑍2=6−𝑗, calculate the impedance 𝑍 in both rectangular and polar forms.
\n" ); document.write( "

Algebra.Com's Answer #772695 by math_helper(2461)\"\" \"About 
You can put this solution on YOUR website!
You probably wanted \"+Z+=+%28Z1%2AZ2%29%2F%28Z1%2BZ2%29+\" (use parenthesis)
\r
\n" ); document.write( "\n" ); document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Z = \"+%28%286%2B4j%29%286-j%29%29+%2F+%28%286%2B4j%29%2B%286-j%29%29+\"
\n" ); document.write( "= \"+%2840%2B18j%29+%2F+%2812%2B3j%29+\"
\n" ); document.write( "Multiply numerator and denominator by 12-3j:
\n" ); document.write( "= \"+%28%2840%2B18j%29%2812-3j%29%29+%2F+%28%2812%2B3j%29%2812-3j%29%29+\"
\n" ); document.write( "= \"+%28178%2B32j%29%2F51+\" exact answer
\n" ); document.write( "= \"+3.490+%2B+0.627j+\" to three decimal places\r
\n" ); document.write( "\n" ); document.write( "Polar form: left as an exercise. \n" ); document.write( "
\n" );