Final answer:
The reactance of a 35mH inductor at a frequency of 75 Hz is approximately 16.5 ohms, calculated using the formula XL = 2πfL.
Step-by-step explanation:
To calculate the reactance of an inductor, we use the formula XL = 2πfL, where f is the frequency and L is the inductance. Given a frequency of 75 Hz and an inductance of 35 mH (which is 35 x 10-3 H), we can determine the reactance of the circuit.
XL = 2π(75 Hz)(35 x 10-3 H) = 2π(75)(0.035) ≈ 16.5 Ω. Therefore, the reactance of the inductor at a frequency of 75 Hz is approximately 16.5 ohms.