Probe systems configured to test a device under test and methods of operating the probe systems are disclosed herein. The probe systems include an electromagnetically shielded enclosure, which defines an enclosed volume, and a temperature-controlled chuck, which defines a support surface configured to support a substrate that includes the DUT. The probe systems also include a probe assembly and an optical microscope. The probe systems further include an electromagnet and an electronically controlled positioning assembly. The electronically controlled positioning assembly includes a two-dimensional positioning stage, which is configured to selectively position a positioned assembly along a first two-dimensional positioning axis and also along a second two-dimensional positioning axis. The electronically controlled positioning assembly also includes a first one-dimensional positioning stage that operatively attaches the optical microscope to the positioned assembly and a second one-dimensional positioning stage that operatively attaches the electromagnet to the positioning assembly.