Electronics - Alternating Current and Voltage - Discussion
Discussion Forum : Alternating Current and Voltage - General Questions (Q.No. 5)
                   
                                       
                                5.
A half-cycle average voltage of 12 V is equal to what rms voltage?
 
                                    Discussion:
24 comments Page 1 of 3.
                
                        Hari said: 
                         
                        3 years ago
                
                Half wave
Vavg=vm/π
Vm=vavg*π
Vm=12*π
= 37.69.
Vrm=vm/2.
= 37.69/2,
=> 18.84.
                Vavg=vm/π
Vm=vavg*π
Vm=12*π
= 37.69.
Vrm=vm/2.
= 37.69/2,
=> 18.84.
                     (2)
                
            
                        ABIAS UG said: 
                         
                        4 years ago
                
                Vav = 0.636Vpk.
Vpk = Vav/0.636 = 12/0.636.
=.18.867925,
Vrms = Vpk/√2.
= .13.34.
                Vpk = Vav/0.636 = 12/0.636.
=.18.867925,
Vrms = Vpk/√2.
= .13.34.
                     (1)
                
            
                        Muhammad Nouman said: 
                         
                        6 years ago
                
                Answer is 18.84v.
Explanation:
For Half Wave Cycle Vrms = Vm/2.
and Vm = Vavg x π where π = 3.14 and Vavg = 12v,
So Vm = 12 x 3.14 = 37.68.
and
Vrms = Vm/2 = 37.68/2 = 18.84v.
Vrms = 18.84v.
                Explanation:
For Half Wave Cycle Vrms = Vm/2.
and Vm = Vavg x π where π = 3.14 and Vavg = 12v,
So Vm = 12 x 3.14 = 37.68.
and
Vrms = Vm/2 = 37.68/2 = 18.84v.
Vrms = 18.84v.
                     (1)
                
            
                        Rahul yadav said: 
                         
                        9 years ago
                
                Yes, you are correct @Pawn.
                
                        RENJITH K N said: 
                         
                        4 years ago
                
                Average voltage;
Vavg=Vmax/π=12v ----> 1.
We found rms voltage = Vrms=Vmax/2 ------> 2.
From equation 1 Vmax=Vavg x π
= 12 x π
= 12 x 3.14,
= 37.68.
Applying equation 2 Vrms=Vmax/2.
= 37.68/2 .
=18.84.
                Vavg=Vmax/π=12v ----> 1.
We found rms voltage = Vrms=Vmax/2 ------> 2.
From equation 1 Vmax=Vavg x π
= 12 x π
= 12 x 3.14,
= 37.68.
Applying equation 2 Vrms=Vmax/2.
= 37.68/2 .
=18.84.
                        Ancy said: 
                         
                        5 years ago
                
                Thanks @Kiran V.
                
                        KIRAN V said: 
                         
                        5 years ago
                
                Vrms = Vpeak x .707. 
Vrms = 1.11 x Vavg.
Vpeak = 1.414 x Vrms.
Vavg = .637 x Vpeak.
                Vrms = 1.11 x Vavg.
Vpeak = 1.414 x Vrms.
Vavg = .637 x Vpeak.
                        Whis said: 
                         
                        7 years ago
                
                The answer must be 18.85. 
Let me explain,
For half wave rectifier:
Vave = Vpk/π
12v = Vpk / 3.14,
12*3.14 = Vpk,
Vpk = 37.699V.
To get rms of half wave rectifer:
vrms(halfwave) = vpk/2.
Vrms(half wave) = 37.699/2.
Vrms = 18.85V.
                Let me explain,
For half wave rectifier:
Vave = Vpk/π
12v = Vpk / 3.14,
12*3.14 = Vpk,
Vpk = 37.699V.
To get rms of half wave rectifer:
vrms(halfwave) = vpk/2.
Vrms(half wave) = 37.699/2.
Vrms = 18.85V.
                        Shadan said: 
                         
                        8 years ago
                
                If we talk a Avverage voltage of a complete sine wave then it is 0 
So we need to Take Avvg Voltage =0.637*Vm.
Vm = 18.84,
RMS=Vm/√2.
18.84/1.414,
=13.33.
                So we need to Take Avvg Voltage =0.637*Vm.
Vm = 18.84,
RMS=Vm/√2.
18.84/1.414,
=13.33.
                        Shadan said: 
                         
                        8 years ago
                
                Half Cycle means Half cycle flow in output so it is a half wave rectifier 
So avverage voltage of half wave rectifier is =Vm/π.
So Vm =3.14*12,
Vm=26.64,
So rms value of HALF wave is Vm/2,
So 26.64/2=13.33.
                So avverage voltage of half wave rectifier is =Vm/π.
So Vm =3.14*12,
Vm=26.64,
So rms value of HALF wave is Vm/2,
So 26.64/2=13.33.
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