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Thomas Dehaeze
2021-05-02 20:37:00 +02:00
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content/zettels/charge_amplifiers.md
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@@ -17,19 +17,19 @@ This can be typically used to interface with piezoelectric sensors.
## Basic Circuit {#basic-circuit}
Two basic circuits of charge amplifiers are shown in Figure [1](#org4fccf5a) (taken from ([Fleming 2010](#org17ae69b))) and Figure [2](#orgad97f51) (taken from ([Schmidt, Schitter, and Rankers 2014](#orge90efed)))
Two basic circuits of charge amplifiers are shown in Figure [1](#org45de288) (taken from ([Fleming 2010](#org2341229))) and Figure [2](#org8955723) (taken from ([Schmidt, Schitter, and Rankers 2014](#orgf9a1421)))
<a id="org4fccf5a"></a>
<a id="org45de288"></a>
{{< figure src="/ox-hugo/charge_amplifier_circuit.png" caption="Figure 1: Electrical model of a piezoelectric force sensor is shown in gray. The op-amp charge amplifier is shown on the right. The output voltage \\(V\_s\\) equal to \\(-q/C\_s\\)" >}}
<a id="orgad97f51"></a>
<a id="org8955723"></a>
{{< figure src="/ox-hugo/charge_amplifier_circuit_bis.png" caption="Figure 2: A piezoelectric accelerometer with a charge amplifier as signal conditioning element" >}}
The input impedance of the charge amplifier is very small (unlike when using a voltage amplifier).
The gain of the charge amplified (Figure [1](#org4fccf5a)) is equal to:
The gain of the charge amplified (Figure [1](#org45de288)) is equal to:
\\[ \frac{V\_s}{q} = \frac{-1}{C\_s} \\]
@@ -47,8 +47,9 @@ The gain of the charge amplified (Figure [1](#org4fccf5a)) is equal to:
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## Bibliography {#bibliography}
<a id="org17ae69b"></a>Fleming, A.J. 2010. “Nanopositioning System with Force Feedback for High-Performance Tracking and Vibration Control.” _IEEE/ASME Transactions on Mechatronics_ 15 (3):433–47. <https://doi.org/10.1109/tmech.2009.2028422>.
<a id="org2341229"></a>Fleming, A.J. 2010. “Nanopositioning System with Force Feedback for High-Performance Tracking and Vibration Control.” _IEEE/ASME Transactions on Mechatronics_ 15 (3):433–47. <https://doi.org/10.1109/tmech.2009.2028422>.
<a id="orge90efed"></a>Schmidt, R Munnig, Georg Schitter, and Adrian Rankers. 2014. _The Design of High Performance Mechatronics - 2nd Revised Edition_. Ios Press.
<a id="orgf9a1421"></a>Schmidt, R Munnig, Georg Schitter, and Adrian Rankers. 2014. _The Design of High Performance Mechatronics - 2nd Revised Edition_. Ios Press.