Apparatuses and methods for at-bit resistivity measurements for an earth-boring drilling tool

An earth-boring drilling tool, comprising:

• a bit body;
• and
• an instrumented cutting element coupled with the bit body, the cutting element including:
• a substrate;
• a cutting body disposed on the substrate and having a cutting surface, thereon;
• at least one sensor disposed within the cutting body, at least one surface of the at least one sensor being at least substantially flush with the cutting surface of the cutting element, wherein the at least one sensor is oriented and configured to sense resistivity of one of a contacting formation and the instrumented cutting element;
• and
• at least one conduit coupled to the at least one sensor and extending through the cutting body and through the substrate in a direction at least substantially orthogonal to the cutting surface of the cutting body of the cutting element.

A method of determining resistivity of a subterranean formation during a drilling operation, the method comprising:

• contacting a sensor disposed within a cutting body of a cutting element at least partially disposed within a pocket of a blade of a body of an earth-boring drilling tool with the subterranean formation, an exposed surface of the sensor being recessed relative to at least a portion of a cutting surface of the cutting element;
• energizing the sensor of the cutting element while the sensor is in contact with the subterranean formation;
• sensing a return signal flowing on or through the subterranean formation;
• and
• determining a resistivity of the subterranean formation based, at least in part, on the return signal.