FCC Exam Question: 6A109
What is the reactance of a 2-henry choke at 3000 Hz?
Explanation: 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.
6A25
6A575
6A357
6A412
6A28
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Includes Elements 1, 3, 6, 7R, 8, and 9.