ECE 3355 · Homework 4 · Frequency Response/Filters

Filters, worked in 3D.

ECE 3355 Homework 4, problems 1 to 3. Derive the transfer functions stage by stage, then see one stated design for each of the four Bode plots, checked against the plot and with an input resistance that stays 10 kΩ at every frequency.

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positive node negative node 0 V reference

Arrows show conventional current in the direction it actually flows at that moment; a part with zero current has no arrow. Ideal sources, op-amp inputs and control labels never carry invented current. Diamonds are dependent sources: an arrow inside means a current source, + and − mean a voltage source.

Poles, zeros and what each one adds
Factor	Location	Multiplicity	Magnitude	Phase

Every chain of one to three stages

Signal levels are rms; the floor is the smallest loaded node voltage in the chain
Chain	Stages	Lowest level	Load voltage	Load power	≥ 10 mV	≥ 0.5 W

The circuit as text

Parts and the current through each (reference direction first node → second)
Part	Value or type	Connects	Current

Node voltages relative to the reference node
Node	Voltage

An independent study aid, not an official course resource or answer key from the University of Houston. Problem text is reproduced from the ECE 3355 Homework 4 handout; where the handout leaves a choice open, the choice made here is labelled, and numbers that are not in the handout are marked as exploration values.