Question 6A109

The reactance of an inductor, known as inductive reactance ($X_L$), is calculated using the formula: $X_L = 2 \pi f L$ Where: * $X_L$ is the inductive reactance in ohms * $\pi$ (pi) is approximately 3.14159 * $f$ is the frequency in Hertz (Hz) * $L$ is the inductance in Henries (H) Given values: * Frequency ($f$) = 3000 Hz * Inductance ($L$) = 2 Henries Substitute these values into the formula: $X_L = 2 \times \pi \times 3000 \text{ Hz} \times 2 \text{ H}$ $X_L \approx 2 \times 3.14159 \times 3000 \times 2$ $X_L \approx 37699.08 \text{ ohms}$ Rounding this value, we get approximately 37,680 ohms. This matches option B. Options A, C, and D are incorrect and likely result from mathematical errors in calculation or misapplication of the formula. Understanding inductive reactance is crucial for designing and analyzing AC circuits involving chokes and coils.