Final answer:
The question involves finding the equivalent resistance and reactance in a parallel electrical circuit, using the principles of parallel resistances and reactances calculation.
Step-by-step explanation:
The question concerns the calculation of equivalent resistance and reactance in an electrical circuit where components are arranged in parallel. To find the values of resistance and reactance that are equivalent to a coil with a known resistance and reactance, one must apply the principles of parallel circuits. Specifically, for resistors in parallel, the reciprocal of the equivalent resistance is the sum of the reciprocals of the individual resistances: 1/Req = 1/R1 + 1/R2 + .... Similarly, for reactances in parallel, the formula is the same. It is key to understand that in a parallel combination, the voltage across each element is the same while the currents can differ.
Example Problem:
If a circuit contains two resistors in parallel with resistance values of 15 Ω and 20 Ω, the equivalent resistance is calculated by the formula specified above as 1/Req = 1/15 Ω + 1/20 Ω. The values from the combination that match the coil's resistance and reactance must be calculated similarly, keeping in mind that the total resistance will be somewhere between the pure series and pure parallel values.