Another way of dealing with distributed elements is to use a finite element analysis whereaby the distributed element is approximated by a large number of small lumped elements.
22.
Richards'transformation allows a lumped element design to be taken " as is " and transformed directly into a distributed element design using a very simple transform equation.
23.
In the electrical domain, on the other hand, the transition from the lumped element model to the distributed element model occurs in the hundreds of megahertz region.
24.
Real-world components exhibit non-ideal characteristics which are, in reality, distributed elements but are often represented to a first-order approximation by lumped elements.
25.
The dual transmission line structure can be implemented in practice by loading a host transmission line with lumped element series capacitors ( C ) and shunt inductors ( L ).
26.
Distributed element filters are used in many of the same applications as lumped element filters, such as Chebyshev, etc . ) can be implemented using a distributed element approach.
27.
If the wavelength is short in comparison to the part then a lumped element model as described above is no longer adequate and a distributed element model must be used instead.
28.
The lumped element model of a capacitor includes a lossless ideal capacitor in series with a resistor termed the equivalent series resistance ( ESR ), as shown in the figure below.
29.
Such considerations typically become important for circuit boards at frequencies above a GHz; integrated circuits are smaller and can be treated as lumped elements for frequencies less than 10GHz or so.
30.
This arises because the lumped element model assumes that all the elements take up zero space ( or no significant space ) and that there is no delay in signals between the elements.
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