AdvancedA-003-001-003
What is the equivalent to the RMS value of an AC voltage?
D
Answer
Transmitters and receivers
Type
A
The AC voltage found by taking the square root of the peak AC voltage
B
The DC voltage causing the same heating of a given resistor as the peak AC voltage
C
The AC voltage found by taking the square root of the average AC value
D
The AC voltage causing the same heating of a given resistor as a DC voltage of the same value
Answer Notes
The term RMS stands for Root Mean Square, which is a mathematical method used to express the effective voltage of an alternating current (AC) waveform. Because AC voltage constantly changes in amplitude and direction, a direct comparison to direct current (DC) is needed to measure its practical ability to do work.
The RMS value of an AC voltage is defined exactly by this equivalent work: it is the AC voltage that will produce the same amount of heat dissipation in a given resistor as a DC voltage of the same numerical value.
Distractors often confuse this by suggesting it is related to the average AC value or simply the square root of a peak value, but the core definition is always rooted in equivalent DC heating power.
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If the peak value of a 100 Hz sinusoidal waveform is 20 volts, the RMS value is: