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Sallen and Key Nodal Equations

Chr1s

Dec 20, 2016
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Can anyone help me with this problem? i am not quite sure where to start?

Thanks
 

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Harald Kapp

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Nov 17, 2011
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i am not quite sure where to start?
Start by labeling the voltages across the components with unique labels (V1, V2, V3, ...).
Use complex impedances (frequency dependent) for the capacitors - you should know how to express those.
Use Kirchhoff's voltage law to set up equations for the mesh voltages.
Transform the resulting equations to match the standard form.

As a prerequisite assume an ideal operational amplifier with infinite input impedance (equivalent to Iinput = 0 A) and infinite gain (equivalent to V(in_+) - V(in_-) = 0V)
 

LvW

Apr 12, 2014
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Everything OK with Harald`s answer.
Nevertheless, according to my experience it is more easy to use Kirchhoff`s current law for each oif the various nodes (using the voltages between each node and ground).
 
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