I am still working on these complex numbers. This one is giving me trouble:

Given the following:

$\displaystyle z_{1}=R_{1}+R+jwL$

$\displaystyle z_{2}=R_{2}$

$\displaystyle z_{3}=\frac{1}{jwC_{3}}$

$\displaystyle z_{4}=R_{4}+\frac{1}{jwC_{4}}$

Express R and L in terms of the constants R1, R2, C3 and C4.

We are also told that $\displaystyle z_{1}z_{3}=z_{2}z_{4}$

So this last bit is obviously the clue to solving the whole thing. I worked it out:

$\displaystyle \frac{R_{1}+R+jwL}{jwC_{3}}=R_{2}(R_{4}+\frac{1}{j wC_{4}})$

I did lots of algebraic manipulation after that, but nothing came of it. Would somebody please give me a hand?

(I may be crap at maths, but I'm getting good at LaTeX!)

Regards,

Evanator