Solved Examples on Half Wave Rectifier
Calculate the rectification efficiency of a half-wave rectifier that obtained 15 watts of power output on an input power of 40 watts.
Given the input power (Pin) as 40 watts and the output power (Pout) as 15 watts, the rectification efficiency can be calculated using the formula:
Rectification efficiency = (Pout / Pin) * 100
Substituting the given values:
Rectification efficiency = (15 / 40) * 100 ≈ 37.5%
So, the rectification efficiency is approximately 37.5%.
A power supply with a peak voltage of 6v is connected to a diode for rectification and a resistor of 100Ω is connected as load. If the internal resistance of the diode is 6Ω, find the following:
- Find the Peak value of the current, the RMS value of the current and the DC output current.
- Find the input and output power.
- Find the efficiency of rectification.
- Find the output voltage of the DC output.
Given:
Load resistance (RL) = 100Ω
Peak voltage (Vm) = 6V
Diode resistance (RD) = 6Ω
1. Calculate Im (peak current):
Im= Vm/(RD+RL) = 6 / (6 + 100) = 0.057A = 57mA
Calculate Idc (average current):
Idc = Im / π = 57mA / π ≈ 18.14mA
Calculate Irms(root mean square current):
Irms= Im / 2 = 57mA / 2 = 28.5mA
2. Calculate input power (Pin):
Pin = I2R = (Irms)2 x (RD+RL) = (0.0285)2 x (6+100) = 0.086 watts
Calculate output power (Pout):
Pout = I2R = (Idc)2 x RL = (0.01814)2 x 100 = 0.032 watts
3. Calculate efficiency:
Efficiency = (Pout/ Pin) x 100 = (0.032W / 0.086W) x 100 ≈ 37.2%
4. Calculate DC voltage (Vdc):
Vdc = Idcx RL = 0.01814A x 100Ω = 1.814V
Half Wave Rectifier
A Half-wave rectifier is an electronic device that is used to convert Alternating current (AC) to Direct current (DC). A half-wave rectifier allows either a positive or negative half-cycle of AC to pass and blocks the other half-cycle. Half-wave rectifier selectively allows only one half-cycle of the AC input voltage to pass through, producing a pulsating DC output voltage across the load resistor. While it’s a simple and cost-effective way to convert AC to DC.
In this article, we will go through Half wave Rectifier, First, we will begin with the basics of the rectifier, Then we will go through the definition of the half wave rectifier, then we will go through a diagram of half wave rectifier, and working principle of half wave rectifier, Also we will go through capacitor filter in half wave rectifier and three phase half wave controlled rectifier. At last, we will conclude our Article with Advantages and Disadvantages, Application and Some FAQs on Half Wave Rectifier.
Table of Content
- What is a Rectifier?
- Rectifier Components
- Types of Rectifiers
- Half Wave Rectifier
- Working
- Half Wave Rectifier with Filter
- Three Phase Half Wave Rectifier
- Formulas
- Solved examples
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