Operational transconductance amplifier (OTA): The small-signal gain is defined as output current divided by input voltage. In SI units, this transconductance gain is measured in ________.

Difficulty: Easy

Correct Answer: siemens

Explanation:


Introduction / Context:
An operational transconductance amplifier (OTA) is a voltage-controlled current source. Unlike a voltage-output op-amp with V/V gain, an OTA’s fundamental parameter is transconductance, relating input voltage to output current.



Given Data / Assumptions:

  • Gain definition: gm = I_out / V_in.
  • OTA behaves linearly for small signals about a bias point.
  • Units must follow dimensional analysis of current per voltage.


Concept / Approach:
By definition, transconductance is the derivative of output current with respect to input voltage: gm = dI/dV. In SI, current is amperes (A) and voltage is volts (V), so the unit of gm is A/V, known as siemens (S), the same unit used for conductance.



Step-by-Step Solution:

Start with gm = I_out / V_in.Replace units: A / V → siemens (S).Therefore, OTA gain is measured in siemens.This is consistent with the OTA’s current-output nature.


Verification / Alternative check:
Datasheets list gm in micro-siemens to milli-siemens, tunable by bias current, validating the unit selection.



Why Other Options Are Wrong:
Amps: would describe current magnitude, not ratio of current to voltage.

Volts: would describe potential, not a transfer ratio.

No units: incorrect; gm is dimensioned (A/V).



Common Pitfalls:
Confusing OTA gm (A/V) with op-amp voltage gain (V/V). Forgetting that transconductance is tunable via a bias input in many OTA ICs.



Final Answer:
siemens

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