In the ideal scalar loop, higher forward gain leaves less steady-state error. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The first loop leaves two volts of error

Forward gain 3 gives output 6 volts and error 2 volts.

G=3y=6 V, e=2 VG=3\Rightarrow y=6\ \text{V},\ e=2\ \text{V}
Lower loop gainThe lower gain loop has a larger error.outputmeasurederrorcommand

The higher gain leaves one volt of error

Forward gain 7 gives output 7 volts and error 1 volt.

G=7y=7 V, e=1 VG=7\Rightarrow y=7\ \text{V},\ e=1\ \text{V}
Higher loop gainThe steady-state error is smaller in this ideal model.outputmeasurederrorcommand