Full-wave Rectifier - Mathematical approach

In summary, the conversation discusses the topic of mathematical analysis of a Full-Wave Bridge rectifier with a smoothing capacitor. The individual is seeking resources and a mathematical explanation for how the smoothing capacitor affects the output voltage and how to determine the appropriate capacitance value. They express their belief that this is not a trivial matter and request recommendations for books on power supplies and their construction.
  • #1
etf
179
2
Hi!
I'm interested in mathematical analysis of Full-Wave Bridge rectifier with smoothing capacitor. I tried to find it on web but without success. I read how smoothing capacitor affect output voltage, but I never saw some mathematical description. Can one mathematically prove it? How can one know which capacitance value to choose? I don't think it's so trivial, I'm pretty sure there must be some mathematical background. Can someone suggest me some book which deals with this problematic and generally with power supplies, how they are made etc.?
Thanks in advance.
 
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  • #2
etf said:
Hi!
I'm interested in mathematical analysis of Full-Wave Bridge rectifier with smoothing capacitor. I tried to find it on web but without success. I read how smoothing capacitor affect output voltage, but I never saw some mathematical description. Can one mathematically prove it? How can one know which capacitance value to choose? I don't think it's so trivial, I'm pretty sure there must be some mathematical background. Can someone suggest me some book which deals with this problematic and generally with power supplies, how they are made etc.?
Thanks in advance.

Try using Google Images to search for your subject, and click into images that have some equations associated with them. The analysis is pretty easy, given the load resistance and output smoothing capacitance. :smile:
 

1. What is a full-wave rectifier?

A full-wave rectifier is an electronic circuit that converts an alternating current (AC) signal into a direct current (DC) signal. It uses diodes to only allow current to flow in one direction, resulting in a pulsating DC output.

2. How does a full-wave rectifier work?

A full-wave rectifier works by using four diodes in a bridge configuration to convert the entire AC signal into DC. The diodes alternate between allowing current to flow in one direction and blocking it in the other direction, resulting in a smoother DC output than a half-wave rectifier.

3. What is the mathematical approach to analyzing a full-wave rectifier?

The mathematical approach to analyzing a full-wave rectifier involves using the diode characteristic equation (I = I0(eV/DV - 1)) to calculate the current through the diodes, and then using Kirchhoff's laws to analyze the circuit and determine the output voltage and current.

4. What is the advantage of a full-wave rectifier over a half-wave rectifier?

The advantage of a full-wave rectifier over a half-wave rectifier is that it produces a smoother DC output with less ripple. This is because it utilizes the entire AC signal, rather than just half of it, resulting in a higher average output voltage.

5. What are some applications of full-wave rectifiers?

Full-wave rectifiers are commonly used in power supplies, where a steady DC voltage is needed for electronic devices. They are also used in audio amplifiers and radio receivers to convert AC signals into DC for further processing.

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