 Loaded voltage gain

Loaded voltage gain is the ratio of an amplifier's output to input signal electric potential differences with a specified load connected. In a small-signal model, let the open-circuit output be $v_{\mathrm{oc}}=A_0{v}_{\mathrm{in}}$ and let the complete amplifier have output impedance $Z_o$. A load $Z_L$ then givesThis is the voltage divider result from Thévenin's theorem at the output terminals. The university source explains why a linear circuit can be replaced at specified terminals by a source and series impedance.^[ref] The output impedance used here must describe the complete amplifier at the stated operating point and frequency, including its feedback.

The input terminal matters too. For a generator $v_s$ with source impedance $Z_s$ driving amplifier input impedance $Z_i$, the corresponding source-to-load ratio in a unilateral model isThis includes both input and output loading; it differs from the terminal-to-terminal voltage gain defined above.

For an original resistive example, choose $A_0=12$, $Z_o=100\Omega$, $Z_L=900\Omega$, $Z_i=1\mathrm{k\Omega }$ and $Z_s=50\Omega$. The loaded terminal gain is $10.8$, while the source-to-load gain is $72/7\approx 10.286$. Reducing the load to $100\Omega$ makes the terminal gain six, even though the stipulated open-circuit gain remains twelve. These are model parameters, not device specifications.

A direct test holds the actual amplifier input signal fixed, changes a known load and measures the output with an oscilloscope whose probe impedance is included in the effective load. Use small enough signals to retain linear operation and respect the amplifier output range. If the output-to-input ratio changes with loading, an unloaded gain alone is insufficient to predict the circuit's behavior.

At nonzero frequency the impedances and gain can be complex. A reactive-load phase shift in a finite-output-impedance amplifier can change both magnitude and phase, while input-output coupling or nonlinear current limiting can invalidate this simple unilateral divider model. The ideal feedback resistance-ratio examples in the manufacturer's introduction apply within their corresponding operating assumptions.^[ref]