FCC Exam Question: 8-40E2

The impedance total (ZO) of a transmission line can be calculated by ZO = √L/C when L and C are known. When a section of transmission line contains 250 microhenries of L and 1000 picofarads of C, its impedance total (ZO) will be:

A. 50 ohms.
B. 250 ohms.
C. 500 ohms.
D. 1,000 ohms.
Correct Answer: C

Explanation: The characteristic impedance (ZO) of a transmission line is a fundamental property determined by the physical geometry and dielectric material between its conductors. For a lossless line, it's defined by the square root of the ratio of its distributed inductance (L) to its distributed capacitance (C). To calculate ZO: 1. Convert the given values to standard units: * L = 250 microhenries = 250 × 10⁻⁶ H * C = 1000 picofarads = 1000 × 10⁻¹² F = 1 × 10⁻⁹ F 2. Apply the formula ZO = √L/C: * ZO = √( (250 × 10⁻⁶ H) / (1 × 10⁻⁹ F) ) * ZO = √( 250 × 10³ ) * ZO = √250,000 * ZO = 500 ohms Therefore, the impedance total (ZO) is 500 ohms. Options A, B, and D are incorrect as they do not result from the correct application of the formula with proper unit conversions.

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Includes Elements 1, 3, 6, 7R, 8, and 9.