A ranging system and method to determine a relative distance and direction of a target borehole relative to a second borehole using a ranging tool that can make ranging measurements while the ranging tool is not rotating. An array of button electrodes included in the ranging tool can be fired in a sequential fashion so as to simulate rotation of one or more button electrodes, without the ranging tool rotating. The array of button electrodes can also be fired in a sequential fashion so as to simulate rotational and/or longitudinal movement of the ranging tool.