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First Order Filter Circuit Section 14.1-14.3

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First Order Filter Design LPF: RL HPF: RL LPF: RC HPF:RC

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Filter Circuits High Pass Filter Low Pass Filter

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Intuition

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RL Low-Pass Filter

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RL Circuit @ 100 Hz

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RL Circuit @ 1000 Hz

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RL Circuit @ 10,000 Hz

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Summary Freq (Hz)Vout,mag/Vin,magPhase (deg) Approx imate (Phase) 1001.989/2=0.9945, (0dB)-5.7270 10001.459/2=0.7295, (-2.739 dB)-45.53-45 10,0000.269/2=0.1345, (-17.4 dB)-84.75-90

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Rule of Thumb (1) Phase – The phase change starts one decade before the cut-off frequency – At the cut-off frequency, the phase change is 45 degrees. – At one decade after the cut-off frequency, the phase change is 90 degrees. – The phase change is complete one decade after the cut-off frequency.

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Rule of Thumb (2) Magnitude – The magnitude change starts at the cut- off frequency. – The magnitude response is 0 dB at cut-off frequency. – 20 dB per decade after the cut-off frequency.

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RL High Pass Filter

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RL Circuit @ 1000 Hz

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RL Circuit @ 10,000 Hz

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Frequency: 1 KHz Low pass RL Filter Vout lags Vin High pass RL Filter Vout leads Vin

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Coupling and Filter Circuits. Filter –a device that removes or “filters” or attenuates unwanted signals, and keeps (and sometimes magnifies) the desired.

Coupling and Filter Circuits. Filter –a device that removes or “filters” or attenuates unwanted signals, and keeps (and sometimes magnifies) the desired.

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