Subelement J: Antennas— Topic 64: Voltage, Current and Power Relationships
Question 3-64J1
Element 3 (GROL)What is the current flowing through a 52 ohm line with an input of 1,872 watts?
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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