Apparatus and instruments which transmit a magnetic field through the wall of a wellbore conduit to wirelessly power and communicate with a remote sensor device, namely, remote controls for pressure and temperature sensors, transmitters, receivers, and sensors; sensors to monitor and measure wellbore formation parameters, including temperature and pressure; sensors to monitor and measure pressure integrity of subsea wellheads; sensors to monitor and measure physical parameters on the outside of wellbore conduits; sensors to monitor and measure the pressure integrity of subsea wellheads or outside wellbore conduits to assist with pressure-temperature control in wellbores and the understanding of wellbore formation; [ computer software and computer programs for monitoring and measuring wellbore formation parameters, the pressure integrity of subsea wellheads and physical parameters on the outside of wellbore conduits; ] computer hardware relating to sensors for monitoring and measuring wellbore formation parameters, the pressure integrity of subsea wellheads and physical parameters on the outside of wellbore conduits [ ; parts and fittings therefor, namely, structural parts of pressure and temperature sensors, remote controls for pressure and temperature sensors, transmitters, and receivers ]
