A resistance network is provided for synthesizing a non-linear logarithmic response in the resistance of the network comprising a potentiometer from the change of the resistance of the potentiometer. The network additionally comprises a set of resistors. The potentiometer allows the resistance of the network to be varied, while the network manipulates the current in such a fashion that the input current required to produce a desired output voltage is a linear function of the resistance of the potentiometer. Incorporated into a current overload detection circuit, this allows an even spacing of the desired trip current settings about the dial of the potentiometer.