## 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}

**Related topic**

**Single-phase half-wave rectifier****Efficiency of single-phase half-wave rectifier****Frequency Component of Half-Wave Rectifier Voltage and Current****Ripple Factor of single phase Half-Wave rectifier****Peak Inverse Voltage (PIV) of single phase half wave rectifier****Peak current of single phase half wave rectifier****Transformer Utilization Factor (TUF) of single phase half wave rectifier****Advantage and Disadvantage of single-phase half-wave rectifier**

Is there any text book that teaches calculating the RMS and Average values for different rectifier circuit. I am actually having a hard time solving any new problem in diode rectifer. I know that the integration will help, but I am having a hard time finding the limits for my integral.

Why we can easly understand electronics?