Electronics - Alternating Current and Voltage - Discussion
Discussion Forum : Alternating Current and Voltage - General Questions (Q.No. 16)
                   
                                       
                                16.
What is the average voltage when a rectangular wave's base line voltage is 20 V, its peak-to-peak voltage is 50 V, and its duty cycle is 20%?
 
                                    Discussion:
13 comments Page 1 of 2.
                
                        Sambhrama said: 
                         
                        1 decade ago
                
                Duty Cycle=20%   or
Ton/(Ton+Toff)=0.2 ----(1)
Simplyfying (1) we will get (Toff/Ton)=4
Avg=(1/T)*[(70*ton+ 20*toff)],where T=Ton+Toff
Avg=(1/Ton+Toff)*[(70*ton+ 20*toff)]
Avg=(1/Ton+Toff)* Ton [(70+ 20*(Toff/Ton))]
Avg=(Ton/Ton+Toff)* [(70+ 20*(Toff/Ton))]
Since (Ton/Ton+Toff)=Duty Cycle=0.2
Avg=(0.2)* [(70+ 20*(Toff/Ton))]
Since (Toff/Ton)=4
Avg=(0.2)* [(70+ 20*(4))]
Avg=30 volts
                Ton/(Ton+Toff)=0.2 ----(1)
Simplyfying (1) we will get (Toff/Ton)=4
Avg=(1/T)*[(70*ton+ 20*toff)],where T=Ton+Toff
Avg=(1/Ton+Toff)*[(70*ton+ 20*toff)]
Avg=(1/Ton+Toff)* Ton [(70+ 20*(Toff/Ton))]
Avg=(Ton/Ton+Toff)* [(70+ 20*(Toff/Ton))]
Since (Ton/Ton+Toff)=Duty Cycle=0.2
Avg=(0.2)* [(70+ 20*(Toff/Ton))]
Since (Toff/Ton)=4
Avg=(0.2)* [(70+ 20*(4))]
Avg=30 volts
                     (1)
                
            
                        Deepak kumar joshi said: 
                         
                        1 decade ago
                
                Duty cycle = 20%,
(ton/(ton+toff)) = 0.2, when calculated we get toff = 4 ton.
Now the waveform is confined between 20 v to 70 v as it is stated that the base line is 20v and peak to peak is 50v.
avg = (1/T)*[(70*ton+ 20*toff)], where T=ton+toff.
Calculate it and you will get 30 v. Hope it will help someone.
                (ton/(ton+toff)) = 0.2, when calculated we get toff = 4 ton.
Now the waveform is confined between 20 v to 70 v as it is stated that the base line is 20v and peak to peak is 50v.
avg = (1/T)*[(70*ton+ 20*toff)], where T=ton+toff.
Calculate it and you will get 30 v. Hope it will help someone.
                        Ranjan said: 
                         
                        1 decade ago
                
                Duty cycle=20%,
(ton/(ton+toff))=0.2, when calculated we get toff=4ton
now the waveform is confined between 20 v to 70 v as it is stated that the base line is 20v and peak to peak is 50v..
avg= (1/T)*[(70*ton+ 20*toff)], where T=ton+toff
Calculate it and u will get 30 v..hope it will help someone.
                (ton/(ton+toff))=0.2, when calculated we get toff=4ton
now the waveform is confined between 20 v to 70 v as it is stated that the base line is 20v and peak to peak is 50v..
avg= (1/T)*[(70*ton+ 20*toff)], where T=ton+toff
Calculate it and u will get 30 v..hope it will help someone.
                        Pradeep kumar said: 
                         
                        5 years ago
                
                Vavg = (2 * Vm)/π
So, put Vm = peak to peak = 50,
And the ans will be = 31aprox.
                So, put Vm = peak to peak = 50,
And the ans will be = 31aprox.
                        Jyothi said: 
                         
                        3 years ago
                
                How it will we come 0.2 and 4? Please explain.
                
                        Vasu said: 
                         
                        1 decade ago
                
                Can anyone explain this in detail ?
                
                        Shadan said: 
                         
                        8 years ago
                
                The Avg voltage = 0.637*50= 31.000.
                
                        Vladimir said: 
                         
                        9 years ago
                
                As per my logic, 50(0.6) = 30.
                
                        Hanish said: 
                         
                        1 decade ago
                
                Please anyone explain this.
                
                        Raghu said: 
                         
                        1 decade ago
                
                20+50*0.2 = 30.
                Post your comments here:
 
            
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