Final answer:
The inductive reactance of a 2.50 mH coil at 1000 Hz is 15.71 ohms, calculated using the formula 2πfL.
Step-by-step explanation:
The inductive resistance, also known as inductive reactance (XL), of a coil at a specific frequency can be calculated using the formula XL = 2πfL, where f is the frequency in hertz (Hz) and L is the inductance in henries (H). In this case, to find the inductive reactance of a 2.50 mH coil at 1000 Hz, we plug in the values into the formula: XL = 2π (1000 Hz) (2.50 x 10−3 H).
The inductive reactance of the coil at 1000 Hz is thus XL = 2π × 1000 × 2.50 x 10−3 = 15.71 ohms.