I Diameter affecting string's impedance

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    Diameter Impedance
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The discussion centers on the relationship between the diameter of strings and their impedance when two strings with impedances Z1 and Z2 are joined under tension T. Impedance (Z) is defined as Z = √(T/ρ), where ρ is the mass density of the string. As the diameter of the strings affects their mass density, it consequently influences the impedance. A larger diameter typically results in a higher mass density, which can alter the impedance values. Understanding this relationship is crucial for applications in stringed instruments and engineering.
Senim Silla
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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
 
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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.
 
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