## Average and RMS Value of single-phase half-wave rectifier

Let

V_{m }= maximum value of transformer secondary voltage

V_{s }=rms value of secondary voltage

V_{LM }=maximum value of load voltage = V_{sm }– diode drop – secondary resistance drop

V_{L }= rms value of load voltage

I_{L }= rms value of load current

V_{L(dc)} =average value of load voltage

I_{L(dc) }= average value of load current

I_{LM }= maximum value of load current

R_{L }= load resistance

R_{S }= transformer secondary resistance

r_{d }= diode forward resistance

now,

##### R_{0 }= R_{S }+ r_{d}

##### I_{LM }= V_{sm }– V_{B }/(R_{S }+ r_{d}) + R_{L}

_{ } = V_{sm }–V_{B }

_{VLM = ILM . RL}

##### V_{L(dc)} = V_{LM}/π = 0.318V_{LM}

##### I_{L(dc)} = I_{LM}/π = 0.318I_{LM}

##### I_{L }= I_{LMn}/2 = 0.5I_{LM }= 0.5V_{LM}/R_{L}

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