anonymous
  • anonymous
I need help with this circuit. Picture is in the comments.
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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rvc
  • rvc
do you know about : Maximum Power Transfer Theorem?
rvc
  • rvc
1) calculate the voltage by removing the load 2) calculate the equivalent resistance by short circuiting the voltage source or by replacing it with internal resistance. 3) At maximum power Rth=R_l so use \[\rm P_{\max}=\frac{V^2_{th}}{4R_{th}}\] where V_th n R_th are the values which u calculated in the first n second step respectively.

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radar
  • radar
A hint when calculating Rth short both sources and don't forget the dangling 3 Ohm that will be in series (with disconnected load resistor R(load)
radar
  • radar
|dw:1450138472383:dw| Here is the circuit.
radar
  • radar
|dw:1450138734995:dw| Now shown with direction of electron flow based on polarity of sources. As previously posed we have removed the the load resistance and the rightmost 3 Ohm resistor is not connected.|dw:1450138942991:dw| we want to find this open circuit voltage at "A"
radar
  • radar
Using Kirchoffs voltage law, we need to find the value of I2 in order to compute the voltage at "A". These two equations are: 9 I1 + 6 I2 -12 = 0 6 I1 +20 I2 -36 = 0 we now simplify getting this: 3 I1 + 2 I2 = 4 3 I1 +10 I2 = 18 Using the elimination method we solve for I2 I2 = 1.75 amp We now can calculate the open circuit voltage at "A" V"A" = 36 V -(12 x 1.75) = (36 - 21)V= 15 Volt
radar
  • radar
We are going to "thevanize" the circuit. We have already got the voltage part 15 Volts. Next we need to determine the short circuit resistance the load sees when the sources are shorted circuited.|dw:1450139739837:dw|
radar
  • radar
The load now sees a 3 ohm in series with a parallel 12 and a (2 + parallel of a 6 and 3 Ohm.|dw:1450139955318:dw| are circuit is now equated to this:|dw:1450140268364:dw| Now go to the original question and plot the power with this simplified circuit. And it is well knows that maximum power will be transferred when R load equals the impedance of the power source impedance, in this case 6 Ohms.

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