In technical maintenance and electrical work, the 'impedance' of a circuit is often expressed as a complex number. If a diagnostic tool displays a circuit's impedance as $z = 52 - 9i$ ohms, which value represents the real part of this measurement?

A quality control technician evaluates a circuit board's electrical impedance, which is recorded as the complex number ${}50 + 12i$ ohms. In this measurement, the value 12 represents the real part.

In technical fields such as HVAC maintenance and electrical engineering, the impedance of a system is recorded as a complex number in the form $a + bi$. Match each of the following recorded measurements with the numerical value of its real part.

Solar Inverter Efficiency Monitoring

In technical maintenance, the impedance of a circuit is often recorded as a complex number in the form $a + bi$. If a diagnostic report lists a measurement as ${}45 + 10i$ ohms, the value 45 is defined as the ____ part of the complex number.

Identifying Components of Impedance Formulas

Arrange the steps in the correct order for an electrical technician to identify and isolate the real part of a circuit's impedance when given a complex number measurement in the standard form $a + bi$.