AC/DC not the band. 2

The above schematic shows a simple circuit. What is the voltage that would be read on the DC voltmeter?

Assumptions.

Both the AC and DC voltmeters have high impedance values. The AC voltage is supplied directly from a typical north American 120-volt residential power receptacle.

Give your answer in volts DC to one decimal place.


The answer is 339.4.

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1 solution

Darryl Dennis
Feb 26, 2016

The AC power source would be a sine wave with a RMS voltage measured at 120 Volts. The diode on the left would allow only the negative voltage phase of the AC cycle to the capacitor on the left. The diode on the right would allow only the positive voltage phase of the AC cycle to the capacitor on the right. The capacitors would be charged to the peak of the AC – and peak AC + voltages.

V p e a k = V R M S 2 = 120 2 = 169.7 V { { V }_{ peak } }=\quad { V }_{ RMS }\quad \sqrt { 2 } \quad =\quad 120\quad \sqrt { 2 } \quad =\quad 169.7V

V t o t a l = 2 V p e a k = 2 169.7 V = 339.4 v o l t s { { V }_{ total } }=\quad { 2\quad \bullet \quad V }_{ peak }\quad =\quad 2\quad \bullet \quad 169.7V\quad =\quad 339.4\quad volts

basically its just two peak detectors, one for getting the positive peak, and another for getting the negative peak.

Ramon Vicente Marquez - 5 years, 3 months ago

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Yes that is true when there is no load. The question could be more complicated if a load, perhaps a resistor placed in parallel to the DC volt meter, where added to pull the measured voltage down from the peak values.

Darryl Dennis - 5 years, 3 months ago

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