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Given the circuit and individual AC and DC voltage waveforms shown in figure "A" producing the composite voltage waveform shown in figure "B", what would be the value of the average current passing through the load resistor with a resistance of 1 ohm? Illustration EL-0075
A) 30 amps
B) 40 amps
C) 10 amps
D) 20 amps
Posted: 23 Feb 2026 01:56 UTC  Post #11
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Posted: 25 Apr 2026 13:32 UTC  Post #12
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Solving USCG Electronics Question: Average Current in AC-DC Composite Waveform
The USCG electronics exam question involves a circuit with separate AC and DC voltage waveforms (Figure A) combining to produce a composite waveform (Figure B), asking for the average current through a 1-ohm load resistor. Options are 30A, 40A, 10A, or 20A.

Without the illustration, we rely on standard principles. The key is calculating the average voltage of the composite waveform, then applying Ohm's Law: I_avg = V_avg / R. With R = 1Ω, average current equals average voltage numerically.

Pure AC waveforms have zero average voltage (symmetric positive/negative cycles). DC provides a constant offset. The composite is typically DC-biased AC, where V_avg equals the DC component's value, as AC averages to zero.

Forum comments confirm: "the average voltage of the combined waveform reaches 40V... resulting in 40 amps" via Ohm's Law [comment]. Thus, answer B) 40 amps.

Step-by-Step Analysis:

Identify components: DC voltage sets baseline; AC oscillates around it.

Average voltage: ∫V(t) dt / T = DC value (AC cancels out).

Current: I_avg = V_avg / 1Ω = DC voltage in amps.

RMS note: For power, use RMS, but question specifies average current.

This tests understanding of mixed signals in electronics, crucial for Coast Guard techs handling radar/power systems.

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