The RJ Journal - Electronics - Basics

2007-09-19


Welcome

Electronics
Basics
Repair
Tips
Circuit board design
EMC
LVD
ATEX

Computers

Programming

TV-Shows

Movies

Fun Stuff

Food & Drink

Sport

Model Crafts

In my mind

Photos

Making money on the net

Kids

Contact

News

 

 

 

 
Start, Tools and equipment, Voltage, Current, Resistor, Power, Capacitor, Inductor, Diode, LED, Transistor, OP-Amp, Linear Integrated Circuits, Digital Integrated Circuits, Microprocessor, Relay, Thyristor, Transformer

<- Previous   Next ->


Power        Page 2:2

<-Previous    Page: 1  2

Power matching

Power matching is a term that is used when we want to get as much power into a load (a loudspeaker, for example) as possible and the driving output has an internal resistance (which it always has). It can be shown that when the load has the same resistance as the internal resistance of the source, as much power as possible is developed into the load. If the load resistance is higher or lower, the power in the load becomes lower. When we have maximum power in the load, we can say that the power is matched and that happens when the resistance in the load is equal to the internal resistance of the source.

The circuit above shows a voltage source (Usource) with an internal resistance (Ri) which is connected to a load (Rload). We can set the value for Usource to 10V and the value for Ri to 20Ω for this example.

The highest current in the load is if the Rload resistor is 0Ω which equals 0.5A. However, since the resistance is 0Ω there is no voltage over Rload which means that the power in Rload = 0W (P = U * I). In this case all the voltage is over Ri.

The highest voltage over Rload is when there is no current in the circuit which is when Rload has an infinite resistance, that is when Rload is an open circuit. In this case the whole of Usource is over Rload. Since there is no current, the power is also 0W.

This indicates that we must be somewhere in between these extreme values for Rload to use the most power. If we plot a diagram with Rload between 0Ω and 40Ω on the X-axis and the power in Rload on the Y-axis we can see that maximum power in Rload is when it's resistance is 20Ω.

The power in the above example can be calculated in several way. I have choosen to first calculate the current, which equals Usource / (Ri + Rload), and then calculate the power with the formula P = R * I2. Another way would be to calculate the voltage over Rload and then use P = U2 / R.

We can also see that the resistor value for Rload when power is matched into it, is independent of the voltage for Usource which means that Usource could be an AC voltage or a complex signal, like an audio or video signal, and the power matched Rload resistance would still be the same as the internal resistance.

<-Previous    Page: 1  2


Start, Tools and equipment, Voltage, Current, Resistor, Power, Capacitor, Inductor, Diode, LED, Transistor, OP-Amp, Linear Integrated Circuits, Digital Integrated Circuits, Microprocessor, Relay, Thyristor, Transformer

<- Previous   Next ->