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What will be the reading if we connect an AC voltage and current to a voltmeter and an ammeter, respectively?

I guess it will read the RMS values. Is that right? If yes, why?

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AC voltmeters and ammeters measure the RMS values of voltage and current, by design. We design AC meters this way because the RMS value is associated to the power that an AC source delivers to a load.

However, measuring accurately the RMS value is a complex and, possibly, expensive task. Therefore, cheap meters make an approximate measurement through average-responding detectors: this means that for non-sinusoidal signals this kind of meters have significant measurement errors.

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