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Wednesday, March 5, 2014

Instrumentation Amplifier

5:46 PM  ,  No comments

  • Instrumentation AmplifierOne drawback of the differential amplifier is that its input impedance ($R_3+R_4$) may not be high enough if the output impedance of the previous stage is not low enough. To overcome this problem, two non-inverters with high input resistance can be used each for one of the two inputs to the differential amplifier. The resulting circuit is shown below:
    InstrumentationOpAmp.gif
    The analysis of this circuit is very simple. As the output impedance of the non-inverter is low, the three op-amp circuit can be considered as three independent circuits. The outputs of the two non-inverters are:

    \begin{displaymath}V'_1=V_1\left(1+\frac{R_f}{R_1}\right),\;\;\;\;\;\;\;\;\; V'_2=V_2\left(1+\frac{R_f}{R_1}\right) \end{displaymath}


    The output voltage of the differential amplifier is:

    \begin{displaymath}V_{out}=\frac{R_4}{R_3}(V'_2-V'_1)=\frac{R_4}{R_3}\left(1+\frac{R_f}{R_1}\right)(V_2-V_1) \end{displaymath}


    Of course the two resistors $R_1$ can be combined to become $R_0=2R_1$, i.e., $R_1=R_0/2$, then the output can be written as:

    \begin{displaymath}V_{out}=\frac{R_4}{R_3}\left(1+\frac{2R_f}{R_0}\right)(V_2-V_1) \end{displaymath}


    Alternatively, we consider the current going from $V'_1$ to $V_'_2$:

    \begin{displaymath}\frac{V'_1-V_1}{R_f}=\frac{V_1-V_0}{R_1}=\frac{V_0-V_2}{R_1}=\frac{V_2-V'_2}{R_f} \end{displaymath}


    From the equation of the first two terms we get:

    \begin{displaymath}V'_1=\left(1+\frac{R_f}{R_1}\right)V_1-\frac{R_f}{R_1}V_0 \end{displaymath}


    From the equation of the second two terms we get:

    InstrumentationOpAmp.gif$R_3+R_4$\begin{displaymath}V'_2=\left(1+\frac{R_f}{R_1}\right)V_2-\frac{R_f}{R_1}V_0 \end{displaymath}


    Using the equation of the differential amplifier above, we get the same result as above:

    \begin{displaymath}V_{out}=\frac{R_4}{R_3}(V'_2-V'_1)=\frac{R_4}{R_3}\left(1+\frac{R_f}{R_1}\right)(V_2-V_1) \end{displaymath}






sumber : http://fourier.eng.hmc.edu/e84/lectures/opamp/node3.html

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Jadwal Semester II

5:40 PM    No comments


Hari / JamMata Kuliah
SeninNama
7.00 - 7.50T
7.50 - 8.40ElektronikaT
8.40 - 9.30ElektronikaT
9.30 - 10.20ElektronikaT
10.40 - 11.30Kimia TerapanT
11.30 - 12.20Kimia TerapanT
13.00 - 13.50Kimia TerapanP
13.50 - 14.40Kimia TerapanP
14.40 - 15.30Kimia TerapanP
15.50 - 16.40Kimia TerapanP
16.40 - 17.30
17.30 - 18.20
Selasa
7.00 - 7.50Bahasa IndonesiaT
7.50 - 8.40Bahasa IndonesiaT
8.40 - 9.30Bahasa IndonesiaT
9.30 - 10.20ElektronikaP
10.40 - 11.30ElektronikaP
11.30 - 12.20ElektronikaP
13.00 - 13.50ElektronikaP
13.50 - 14.40
14.40 - 15.30Mekanika TeknikT
15.50 - 16.40Mekanika TeknikT
16.40 - 17.30
17.30 - 18.20
Rabu
7.00 - 7.50Matematika Terapan IIT
7.50 - 8.40Matematika Terapan IIT
8.40 - 9.30Matematika Terapan IIT
9.30 - 10.20
10.40 - 11.30Gambar Teknik IIP
11.30 - 12.20Gambar Teknik IIP
13.00 - 13.50Gambar Teknik IIP
13.50 - 14.40Gambar Teknik IIP
14.40 - 15.30Gambar Teknik IIP
15.50 - 16.40
16.40 - 17.30
17.30 - 18.20
Kamis
7.00 - 7.50Termodinamika TeknikT
7.50 - 8.40Termodinamika TeknikT
8.40 - 9.30Termodinamika TeknikT
9.30 - 10.20
10.40 - 11.30
11.30 - 12.20Instrumentasi dan PengukuranP
13.00 - 13.50Instrumentasi dan PengukuranP
13.50 - 14.40Instrumentasi dan PengukuranP
14.40 - 15.30Instrumentasi dan PengukuranP
15.50 - 16.40Instrumentasi dan PengukuranP
16.40 - 17.30Instrumentasi dan PengukuranP
17.30 - 18.20
Jumat
7.00 - 7.50
7.50 - 8.40
8.40 - 9.30
9.30 - 10.20
10.20 - 11.10
11.10 - 12.40
12.40 - 13.30
13.30 - 14.20
14.20 - 15.10
15.30 - 16.20
16.20 - 17.10
17.10 - 18.00

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