Given Z_m Z_1 + Z_m Z_L + Z_m Z_2 = Z_1 Z_L + Z_1 Z_2, all vars being complex numbers

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fikadu

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Hello Every one,

It was tying to equate complex number summation. It looks easy, but took me a while to solve it . would you help me please? It is as follows:


. . . . .\(\displaystyle Z_m\, Z_1\, +\, Z_m\, Z_L\, +\, Z_m\, Z_2\, =\, Z_1\, Z_L\, +\, Z_1\, Z_2\)

. . . . .Equate \(\displaystyle Z_m\) and \(\displaystyle Z_L\) in terms of \(\displaystyle Z_1\) and \(\displaystyle Z_2\)

. . . . .by rearranging. (That is, collect \(\displaystyle Z_m\) and \(\displaystyle Z_L\) to one side.)

. . . . .Note that all variables are complex numbers.


I want to express Zm and ZL in terms of Z1 and Z2 by rearranging. Let it be (Zm*ZL)/ (Zm + ZL) = (Z1 -Z2)/ (Z1*Z2). I need in such a way.

Thank you in advance.
 

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fikadu said:
Hello Every one,

It was tying to equate complex number summation. It looks easy, but took me a while to solve it . would you help me please? It is as follows:


. . . . .\(\displaystyle Z_m\, Z_1\, +\, Z_m\, Z_L\, +\, Z_m\, Z_2\, =\, Z_1\, Z_L\, +\, Z_1\, Z_2\)

. . . . .Equate \(\displaystyle Z_m\) and \(\displaystyle Z_L\) in terms of \(\displaystyle Z_1\) and \(\displaystyle Z_2\)

. . . . .by rearranging. (That is, collect \(\displaystyle Z_m\) and \(\displaystyle Z_L\) to one side.)

. . . . .Note that all variables are complex numbers.


I want to express Zm and ZL in terms of Z1 and Z2 by rearranging. Let it be (Zm*ZL)/ (Zm + ZL) = (Z1 -Z2)/ (Z1*Z2). I need in such a way.

Thank you in advance.
Click to expand...
Have you followed the hint provided?

What did you get?
 
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