A test and measurement instrument includes a current measurement device having an input to accept an electrical current for measurement, an output to pass an output current output from the current measurement device, a sense path through which the electrical current is measured, and an active bypass device to pass an amount of current from the input of the current measurement device to the output of the current measurement device without passing through the sense path. The active bypass device may be tuned to allow the current sense device to operate without bypass within a specific range of target current values. Some current measurement devices may include more than one active bypass circuits, each tuned for a different range of input current values.