SOLUTION: Given the equivalent impedance of a circuit can be calculated by the expression 𝑍=𝑍1*𝑍2/𝑍1+𝑍2 If 𝑍1=4𝑗+6 and 𝑍2=6−𝑗, calculate the impedance 𝑍 in

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Given the equivalent impedance of a circuit can be calculated by the expression 𝑍=𝑍1*𝑍2/𝑍1+𝑍2 If 𝑍1=4𝑗+6 and 𝑍2=6−𝑗, calculate the impedance 𝑍 in       Log On


   

Question 1151080: Given the equivalent impedance of a circuit can be calculated by the expression
𝑍=𝑍1*𝑍2/𝑍1+𝑍2
If 𝑍1=4𝑗+6 and 𝑍2=6−𝑗, calculate the impedance 𝑍 in both rectangular and polar forms.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
You probably wanted +Z+=+%28Z1%2AZ2%29%2F%28Z1%2BZ2%29+ (use parenthesis)




Z = +%28%286%2B4j%29%286-j%29%29+%2F+%28%286%2B4j%29%2B%286-j%29%29+ 

= +%2840%2B18j%29+%2F+%2812%2B3j%29+

Multiply numerator and denominator by 12-3j:

= +%28%2840%2B18j%29%2812-3j%29%29+%2F+%28%2812%2B3j%29%2812-3j%29%29+

= +%28178%2B32j%29%2F51+ exact answer

= +3.490+%2B+0.627j+  to three decimal places



Polar form: left as an exercise.