At what frequency will a 14.0-mH coil have 14.0 Ω of inductive reactance?
A)1000 Hz
B)505 Hz
C)257 Hz
D)159 Hz

Question

Quizplus · Accepted Answer

The inductive reactance (X_L) is given by the formula X_L = 2πfL, where f is the frequency in hertz (Hz), L is the inductance in henries (H), and π is approximately 3.14159. Rearranging the formula to solve for frequency, we get f = X_L / (2πL). Plugging in the given values, X_L = 14.0 Ω and L = 14.0 mH = 0.014 H, we find f = 14.0 / (2 * 3.14159 * 0.014) ≈ 159 Hz.

At What Frequency Will a 14