A device that converts alternating current into Direct current is called a rectifier. If you want to learn about the half-wave rectifier and half-wave rectifier circuit diagram then you are at the right place.
During the first half of the input cycle, the junction diode gets forward bias. The conventional current will flow. The upper end of $R_{L}$ will be positive potential with respect to the lower end during the second half cycle junction diode will get reverse biased and hence no output will be obtained across $R_{L}$.
Input voltage
$\mathrm{V}_{\mathrm{i}}=\mathrm{V}_{\mathrm{m}} \sin \omega \mathrm{t}$
$\mathrm{i}=\mathrm{I}_{\mathrm{m}} \sin \omega \mathrm{t}$
for $0 \leq \omega t \leq \pi$
$\mathrm{i}=0$
for $\pi<\omega t<2 \pi$
$I_{m}=\frac{V_{m}}{R_{f}+R_{L}}$
here $\mathrm{R}_{\mathrm{f}}=$ forward resistance of diode
$R_{L}$ = load resistance
a. dc output current :
$\mathrm{I}_{\mathrm{dc}}=\frac{1}{2 \pi} \int_{0}^{2 \pi} \mathrm{idt}$
$=\frac{1}{2 \pi}\left[\int_{0}^{\pi} \mathrm{I}_{\mathrm{m}} \sin t \mathrm{dt}+\int_{\pi}^{2 \pi} 0 \mathrm{dt}\right]$
$\mathrm{I}_{\mathrm{dc}}=\frac{\mathrm{I}_{\mathrm{m}}}{\pi}=0.318 \mathrm{I}_{\mathrm{m}}$
b. dc output voltage:
$V_{d c}=I_{d c} \times R_{L}$
$=\frac{I_{m}}{\pi} \times R_{L}$
$=\frac{\mathrm{V}_{\mathrm{m}}}{\pi\left[1+\left(\mathrm{R}_{\mathrm{f}} / \mathrm{R}_{\mathrm{L}}\right)\right]}$
$V_{d c}=\frac{V_{m}}{\pi}=0.318 \mathrm{~V}_{\mathrm{m}}$
c. (Root mean square) RMS current:
$I_{r m s}=\left[\frac{1}{2 \pi} \int_{0}^{2 \pi} i^{2} d(t)\right]^{1 / 2}$
$=\frac{I_{m}}{2}$
same
$V_{r m s}=\frac{V_{m}}{2}$
So, that's all from this blog. I hope you enjoyed this explanation of the half-wave rectifier and half-wave rectifier circuit diagram. If you liked this article then please share it with your friends.
Also Read
What is Diode in electronics
To watch Free Learning Videos on physics by Saransh Gupta sir Install the eSaral App.
Application of diode as a rectifier:
An electronic device that converts alternating current into Direct current is called a rectifier.Half wave rectifier:
A rectifier, which rectifies only one half of each ac supply cycle is called a half-wave rectifier.
During the first half of the input cycle, the junction diode gets forward bias. The conventional current will flow. The upper end of $R_{L}$ will be positive potential with respect to the lower end during the second half cycle junction diode will get reverse biased and hence no output will be obtained across $R_{L}$.
Input voltage
$\mathrm{V}_{\mathrm{i}}=\mathrm{V}_{\mathrm{m}} \sin \omega \mathrm{t}$
$\mathrm{i}=\mathrm{I}_{\mathrm{m}} \sin \omega \mathrm{t}$
for $0 \leq \omega t \leq \pi$
$\mathrm{i}=0$
for $\pi<\omega t<2 \pi$
$I_{m}=\frac{V_{m}}{R_{f}+R_{L}}$
here $\mathrm{R}_{\mathrm{f}}=$ forward resistance of diode
$R_{L}$ = load resistance
a. dc output current :
$\mathrm{I}_{\mathrm{dc}}=\frac{1}{2 \pi} \int_{0}^{2 \pi} \mathrm{idt}$
$=\frac{1}{2 \pi}\left[\int_{0}^{\pi} \mathrm{I}_{\mathrm{m}} \sin t \mathrm{dt}+\int_{\pi}^{2 \pi} 0 \mathrm{dt}\right]$
$\mathrm{I}_{\mathrm{dc}}=\frac{\mathrm{I}_{\mathrm{m}}}{\pi}=0.318 \mathrm{I}_{\mathrm{m}}$
b. dc output voltage:
$V_{d c}=I_{d c} \times R_{L}$
$=\frac{I_{m}}{\pi} \times R_{L}$
$=\frac{\mathrm{V}_{\mathrm{m}}}{\pi\left[1+\left(\mathrm{R}_{\mathrm{f}} / \mathrm{R}_{\mathrm{L}}\right)\right]}$
$V_{d c}=\frac{V_{m}}{\pi}=0.318 \mathrm{~V}_{\mathrm{m}}$
c. (Root mean square) RMS current:
$I_{r m s}=\left[\frac{1}{2 \pi} \int_{0}^{2 \pi} i^{2} d(t)\right]^{1 / 2}$
$=\frac{I_{m}}{2}$
same
$V_{r m s}=\frac{V_{m}}{2}$
So, that's all from this blog. I hope you enjoyed this explanation of the half-wave rectifier and half-wave rectifier circuit diagram. If you liked this article then please share it with your friends.
Also Read
What is Diode in electronics
To watch Free Learning Videos on physics by Saransh Gupta sir Install the eSaral App.
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- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
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- Thermodynamics
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- Oscillations
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- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
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- Atoms
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