Diameter affecting string's impedance

[Senim Silla]

Hi,
Say there was a situation in which two strings are joined together, each with respective impedances Z1 and Z2, held under a tension T.
I was wondering about the functional dependence of the impedance on the diameter of the strings.
Thanks

 

[olivermsun]

Try to get the equation defining $Z$ (impedance) in terms of the tension $T$ and the mass density $\rho$. From there you should be able to determine the functional dependence on diameter.