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?
Exactly what I was looking for, thank you very much.
In[29]:= Solve[ Eliminate[z1 i1 == z2 i2 == zp i && i == i1 + i2, {i1, i2}], zp] Out[29]= {{zp -> (z1 z2)/(z1 + z2)}}
