AC to DC Voltage Calculator

The tool below calculates the DC voltage from AC voltage. 


	

			

		

						

				

				

                

			

			
						

		

		











Background





A full-wave rectifier is an electronic circuit that converts AC to DC by rectifying both halves of the AC waveform, resulting in a more efficient conversion compared to a half-wave rectifier.





The DC or averaged value of the output waveform is given by the formula below. 





Formula





VDC = (2/π)*(Vmax)





where Vmax is the peak AC voltage value and VDC is the output. The multiplier in the equation is 2/π or 0.637. 





How is this formula derived?





The area under the curve A is equal to h x w






Reference: Fundamental Theorem of Calculus Example




where h is the height and w is the width. VDC is the height and therefore given by VDC = A/w





 A = 0 ∫ π sin(x) dx = −cos(x)|0π = 2





The width is simply π-0 = π





Therefore  VDC = 2/π*Vmax (we have to scale it by Vmax as the calculation above is for a peak value of 1). 





Example Calculation





For a peak AC value of 1 Volt, the equivalent DC value is 0.637 Volt. 





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