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M8 · A sense chain that does not clip

  • Work out a sense chain’s burden, its offset-equivalent current and its filter corner.
  • Find why the example misses its error target at the smallest current, and fix it.
  • Keep the output below the amplifier’s largest output and the ADC’s full scale at the largest current, in the worst case of the offset and the pad resistance.

Open the sense chain with the current-output example:

▶ Open in the sense chain: Example sense chain: current-output amplifier, two-terminal shunt
Preset from the example sense-current

It measures up to 2 A with a shunt of 10 mΩ on pads that add 500 µΩ, and must read 200 mA within 0.01.

Work out the sense voltage at the largest current (sense voltage) and the current the amplifier’s offset looks like (offset-equivalent current). Enter both below. A larger shunt lowers the second and raises the first [Texas Instruments 2023].

At the smallest current, add the pad error (pad error) and the offset (relative error). Say which of the two is larger, and why a Kelvin connection removes one of them [O'Sullivan 2012].

Change the chain until the tool reports the error at the smallest current within the target: the connection, the shunt or the amplifier’s offset. Then check the largest current: the worst-case output must stay below the amplifier’s largest output and the ADC’s full scale. If it does not, lower the gain. Write down what your fix costs in burden and dissipation.

Work out the filter’s corner (R-C corner frequency) and compare it with the Nyquist frequency of the ADC’s sampling rate (Nyquist frequency). Enter the corner below.

  • Show the example's value

    20 mV (from sense-current: Example sense chain: current-output amplifier, two-terminal shunt)

  • Show the example's value

    10 mA (from sense-current: Example sense chain: current-output amplifier, two-terminal shunt)

  • Show the example's value

    1.447 kHz (from sense-current: Example sense chain: current-output amplifier, two-terminal shunt)

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  • A current-output amplifier’s output cannot swing to its supply. Its headroom sets the largest output whatever the gain (headroom).
  • The data sheet gives the offset’s largest magnitude, not its sign: check both signs, the one that raises the output at the top and the one that lowers the reading at the bottom.
  • With a current-output amplifier, the filter’s capacitor sees ROUTR_\mathrm{OUT} in series with RfR_f (the filter's resistance), so the corner is lower than RfR_f alone gives.
  • A single pole below the Nyquist frequency still passes part of the signal there. Read the filter’s gain at the Nyquist frequency, and at the switching frequency if you enter it.
  1. A 5 mΩ shunt carries 4 A. What sense voltage, and burden, does it give?

    1. 20 mV
    2. 2 mV
    3. 200 mV
    4. 0.8 mV
    Answer and explanation

    Correct answer: A Ohm's law: 4 A times 5 mΩ is 20 mV, which the measured circuit loses across the shunt.

  2. An amplifier with an offset of 50 µV reads that shunt. What current does the offset look like?

    1. 1 mA
    2. 10 mA
    3. 0.25 mA
    4. 100 mA
    Answer and explanation

    Correct answer: B The offset over the shunt: 50 µV over 5 mΩ is 10 mA, the same at every current.

  3. The pads add 0.5 mΩ to that shunt, sensed beyond the pads. By what fraction does the reading run high?

    1. 1 %
    2. 10 %
    3. 5 %
    4. 0.5 %
    Answer and explanation

    Correct answer: B The amplifier sees the current through the shunt and the pads: 0.5 over 5 is a tenth, at every current.

  4. What removes the pad error?

    1. A larger gain
    2. A Kelvin connection: the sense traces meet the shunt's own terminals, away from the load current's pads
    3. A lower sampling rate
    4. A larger filter capacitor
    Answer and explanation

    Correct answer: B With a four-terminal shunt, or a four-pad layout for a two-terminal one, the pads carry the load current but are no longer in the sense path.

  5. Raising the shunt tenfold lowers the offset-equivalent current tenfold. What does it cost?

    1. Nothing
    2. Ten times the burden and the dissipation at the same current
    3. A tenth of the bandwidth
    4. A higher offset
    Answer and explanation

    Correct answer: B The sense voltage and the shunt's loss both grow with its resistance; the output may also clip, so the gain must come down.

  6. A current-output amplifier's output reaches 4.5 V at full current, on a 5 V supply whose output swings to about 1 V below it. What happens?

    1. Nothing: the gain sets the output
    2. The output clips before full current: lower the gain
    3. The offset doubles
    4. The shunt overheats
    Answer and explanation

    Correct answer: B The output cannot exceed its headroom whatever the gain, so the top of the range is lost unless the gain comes down.

The numbers in the examples, presets and exercises on this site are synthetic: round teaching values, not data from any real design.