FCC Exam Question: 3-64J1

What is the current flowing through a 52 ohm line with an input of 1,872 watts?

A. 0.06 amps.
B. 6 amps.
C. 28.7 amps.
D. 144 amps.
Correct Answer: B

Explanation: To determine the current flowing through the line, we use the power formula that relates power (P), current (I), and resistance (R): P = I²R. This formula is derived directly from Ohm's Law (V=IR) and the basic power formula (P=IV). Given: * Power (P) = 1,872 watts * Resistance (R) = 52 ohms We need to solve for current (I). Rearranging the formula: I² = P / R I = √(P / R) Plugging in the given values: I = √(1872 watts / 52 ohms) I = √(36) I = 6 amps Therefore, 6 amps is the correct current. Options A, C, and D result from incorrect calculations or misapplication of the power formula.

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