The output voltage changes in direct proportion to the designated control current, according to Vout = rmIcontrol. The transresistance gain, rm, sets how much voltage results from each unit of current and is measured in ohms. Consequently, increasing the controlling current increases the modeled voltage response proportionally, while the sign of the current determines the response direction within the circuit convention.
Transresistance gain, represented by rm, is the scaling parameter that connects a controlling current to the resulting voltage. Its unit, the ohm, reflects the voltage-per-current relationship in the model. Changing rm changes the magnitude of the predicted output without changing which branch supplies the controlling current, allowing circuit analysis to represent devices with different current-to-voltage responses.
The controlling current is measured in a specified branch elsewhere in the circuit, so its value depends on the surrounding network rather than on the output voltage alone. Identifying that branch establishes which current enters the relationship Vout = rmIcontrol. This prevents assigning the wrong circuit current to the model and supports consistent analysis of interconnected networks.
An independent voltage source has a prescribed voltage value, whereas this dependent model changes its voltage in response to a current elsewhere in the circuit. Its output therefore cannot be evaluated without considering the controlling branch and the transresistance gain. This distinction makes the model useful for representing signal-controlled behavior rather than fixed-voltage behavior.
First, locate the designated branch and determine its controlling current. Next, identify the transresistance gain rm and use Vout = rmIcontrol to calculate the dependent voltage. Finally, include that voltage relationship with the remaining circuit equations to solve the interconnected network. This workflow helps predict voltage responses while preserving the influence of surrounding components.
Engineers use these models when a circuit's voltage response depends on a current signal elsewhere in the network. They can represent transresistance amplifiers and other dependent devices, helping analysts predict responses before implementing a detailed design. The models also simplify complex electronic systems by capturing the relevant current-to-voltage behavior within an interconnected circuit representation.