Final answer:
The resistance of the wire from which the inductor is made is 12.5Ω, calculated using the quality factor and the inductive reactance provided.
Step-by-step explanation:
Given that an inductor has a quality factor (Q) of 12 and an inductive reactance (XL) of 150Ω, we can calculate the resistance (R) of the wire from which the inductor is made. The quality factor of an inductor is defined as Q = XL / R where XL is the inductive reactance and R is the resistance of the wire. Using the given Q value and the formula, we can rearrange it to solve for R:
R = XL / Q
R = 150Ω / 12
R = 12.5Ω
Therefore, the resistance of the wire from which the inductor is made is 12.5Ω.