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Solving/rewriting systems of equations for a variable in mathematica.

Posted 8 years ago
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Hi, I'm asked to proof/show the complex impedance of two impedances connected in parallel. I tried mathematica for the rewriting to Zp but couldn't make it to work. I used solve and reduce. The highlighted formulas can be combined to get an expression for Zp in terms of Z1 and Z2 (like shown at the result on the bottom of the image). So is there a way to find this expression with mathematica?

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2 Replies
In[29]:= Solve[
 Eliminate[z1 i1 == z2 i2 == zp i && i == i1 + i2, {i1, i2}], zp]

Out[29]= {{zp -> (z1 z2)/(z1 + z2)}}
POSTED BY: Frank Kampas

Exactly what I was looking for, thank you very much.

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