Half Wave Rectifier

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Side-by-Side Formula Table: AC, Half-Wave, and Full-Wave Rectifier¶

Quantity	AC Supply	Half-Wave Rectifier (HW)	Full-Wave Rectifier (FW)
Peak voltage	( $V_m$ )	( $V_m$ )	( $V_m$ )
RMS voltage	( $V_{rms} = \dfrac{V_m}{\sqrt{2}}$ )	( $V_{rms} = \dfrac{V_m}{2}$ )	( $V_{rms} = \dfrac{V_m}{\sqrt{2}}$ )
Average (DC) voltage	( $0$ )	( $V_{dc} = \dfrac{V_m}{\pi}$ )	( $V_{dc} = \dfrac{2V_m}{\pi}$ )
Peak current	( $I_m$ )	( $I_m = \dfrac{V_m}{R}$ )	( $I_m = \dfrac{V_m}{R}$ )
RMS current	( $I_{rms} = \dfrac{I_m}{\sqrt{2}}$ )	( $I_{rms} = \dfrac{I_m}{2}$ )	( $I_{rms} = \dfrac{I_m}{\sqrt{2}}$ )
Average (DC) current	( $0$ )	( $I_{dc} = \dfrac{I_m}{\pi}$ )	( $I_{dc} = \dfrac{2I_m}{\pi}$ )
Ripple factor	Not defined	( $r = 1.21$ )	( $r = 0.482$ )
Rectification efficiency	Not applicable	( $\eta = 40.6%$ )	( $\eta = 81.2%$ )
Form factor	( $1.11$ )	( $1.57$ )	( $1.11$ )
Output frequency	( $f$ )	( $f$ )	( $2f$ )

Quantity	AC Supply	Half-Wave Rectifier (HW)	Full-Wave Rectifier (FW)
Peak voltage	( \(V_m\) )	( \(V_m\) )	( \(V_m\) )
RMS voltage	( \(V_{rms} = \dfrac{V_m}{\sqrt{2}}\) )	( \(V_{rms} = \dfrac{V_m}{2}\) )	( \(V_{rms} = \dfrac{V_m}{\sqrt{2}}\) )
Average (DC) voltage	( \(0\) )	( \(V_{dc} = \dfrac{V_m}{\pi}\) )	( \(V_{dc} = \dfrac{2V_m}{\pi}\) )
Peak current	( \(I_m\) )	( \(I_m = \dfrac{V_m}{R}\) )	( \(I_m = \dfrac{V_m}{R}\) )
RMS current	( \(I_{rms} = \dfrac{I_m}{\sqrt{2}}\) )	( \(I_{rms} = \dfrac{I_m}{2}\) )	( \(I_{rms} = \dfrac{I_m}{\sqrt{2}}\) )
Average (DC) current	( \(0\) )	( \(I_{dc} = \dfrac{I_m}{\pi}\) )	( \(I_{dc} = \dfrac{2I_m}{\pi}\) )
Ripple factor	Not defined	( \(r = 1.21\) )	( \(r = 0.482\) )
Rectification efficiency	Not applicable	( \(\eta = 40.6%\) )	( \(\eta = 81.2%\) )
Form factor	( \(1.11\) )	( \(1.57\) )	( \(1.11\) )
Output frequency	( \(f\) )	( \(f\) )	( \(2f\) )