Equation Of Vrms Value
Vrms =
1
𝜋
= 𝑉𝑝
𝜋
0
𝑉𝑝 𝑠𝑖𝑛⍵𝑡
1
𝜋
0
𝑑⍵𝑡
1 − 𝑐𝑜𝑠2⍵𝑡
𝑑⍵𝑡
2
1
⍵𝑡
2𝜋
= 𝑉𝑝
𝜋
0
−
𝑠𝑖𝑛2⍵𝑡 𝜋
2
0
1
𝜋−0 − 0−0
2𝜋
= 𝑉𝑝
=
𝜋
2
𝑉𝑝
2
Equation Of Vrms Value
Vrms =
1
𝜋
= 𝑉𝑝
𝜋
0
𝑉𝑝 𝑠𝑖𝑛⍵𝑡
1
𝜋
0
𝑑⍵𝑡
1 − 𝑐𝑜𝑠2⍵𝑡
𝑑⍵𝑡
2
1
⍵𝑡
2𝜋
= 𝑉𝑝
𝜋
0
−
𝑠𝑖𝑛2⍵𝑡 𝜋
2
0
1
𝜋−0 − 0−0
2𝜋
= 𝑉𝑝
=
𝜋
2
𝑉𝑝
2
Half Wave Rectifier
𝑉𝑝
2𝝅
𝑉𝑎𝑣 = 𝑉𝐷𝐶 =
1
2𝜋
𝑉𝑝
=
2𝜋
=
𝜋
2𝜋
𝑉𝑝 sin ⍵𝑡 𝑑⍵𝑡 +
0
0 𝑑⍵𝑡
𝜋
− cos ⍵𝑡
𝜋
0
+0
𝑉𝑝
− cos 𝜋 + cos 0
2𝜋
𝑉𝑝
=
+1 + 1
2𝜋
=
𝑉𝑝
𝜋
Half Wave Rectifier
𝑉𝑝
2𝝅
𝑉𝑎𝑣 = 𝑉𝐷𝐶 =
1
2𝜋
𝑉𝑝
=
2𝜋
=
𝜋
2𝜋
𝑉𝑝 sin ⍵𝑡 𝑑⍵𝑡 +
0
0 𝑑⍵𝑡
𝜋
− cos ⍵𝑡
𝜋
0
+0
𝑉𝑝
− cos 𝜋 + cos 0
2𝜋
𝑉𝑝
=
+1 + 1
2𝜋
=
𝑉𝑝
𝜋
Full Wave Rectifier
𝑉𝑝
𝝅
𝑉𝑎𝑣 = 𝑉𝐷𝐶 =
=
1
𝜋
𝜋
𝑉𝑝 𝑠𝑖𝑛⍵𝑡 𝑑⍵𝑡
0
𝑉𝑝
−𝑐𝑜𝑠⍵𝑡
𝜋
𝑉𝑝
=
1+1
𝜋
2𝑉𝑝
=
𝜋
𝜋
0
Full Wave Rectifier
𝑉𝑝
𝝅
𝑉𝑎𝑣 = 𝑉𝐷𝐶 =
=
1
𝜋
𝜋
𝑉𝑝 𝑠𝑖𝑛⍵𝑡 𝑑⍵𝑡
0
𝑉𝑝
−𝑐𝑜𝑠⍵𝑡
𝜋
𝑉𝑝
=
1+1
𝜋
2𝑉𝑝
=
𝜋
𝜋
0