Short Circuited Stub
The input impedance of a lossless short circuited line is,
where j is the imaginary unit, is the characteristic impedance of the line, is the phase constant of the line, and is the physical length of the line.
Thus, depending on whether is positive or negative, the stub will be inductive or capacitive, respectively.
The Length of a stub to act as a capacitor C at an angular frequency of is then given by:
The length of a stub to act as an inductor L at the same frequency is given by:
Read more about this topic: Stub (electronics)
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