digital-brain/content/zettels/transimpedance_amplifiers.md

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+++ title = "Transimpedance Amplifiers" author = ["Dehaeze Thomas"] draft = false category = "equipment" +++

Tags
[Electronics]({{< relref "electronics.md" >}})

Description

A transimpedance amplifier is a "current to voltage converter" and is also named a current controlled voltage source.

It is generally used to interface a sensor which outputs a current proportional to the measurement parameter ([Quadrant Photodiodes]({{< relref "quadrant_photodiodes.md" >}}) for instance).

Basic Circuit

A basic transimpedance amplifier circuit is shown in Figure 1.

It produces an output voltage \(V_{\text{out}}\) proportional to the input current \(I_{\text{sig}}\):

\begin{equation} \boxed{V_{\text{out}} = -I_{\text{sig}} R_f} \end{equation}

The gain of the amplifier is simply \(-R_f\) in [V/A].

The feedback resistor creates a Johnson noise that corresponds to a current noise:

\begin{equation} i_{n} = \sqrt{4kT/R_f} \quad [A/\sqrt{Hz}] \end{equation}

This is usually larger than the amplifier input current noise.

{{< figure src="/ox-hugo/transimpedance_amplifier_schematic.png" caption="<span class="figure-number">Figure 1: Transimpedance Amplifier; Current in, Voltage out" >}}

More information about transimpedance can be found in [The art of electronics - third edition]({{< relref "horowitz15_art_of_elect_third_edition.md" >}}), chapter 8.11.4, especially on the trade-off between gain, noise and bandwidth.

See this open hardware design.

Manufacturers

Manufacturers Country
Kistler Swiss
MMF Germany
Femto Germany
FMB Oxford UK
Thorlabs UK

Bibliography