What is Power dissipated: Definition and 72 Discussions

In electrical engineering, the maximum power transfer theorem states that, to obtain maximum external power from a source with a finite internal resistance, the resistance of the load must equal the resistance of the source as viewed from its output terminals. Moritz von Jacobi published the maximum power (transfer) theorem around 1840; it is also referred to as "Jacobi's law".The theorem results in maximum power transfer across the circuit, and not maximum efficiency. If the resistance of the load is made larger than the resistance of the source then efficiency is higher, since a higher percentage of the source power is transferred to the load, but the magnitude of the load power is lower since the total circuit resistance increases.If the load resistance is smaller than the source resistance, then most of the power ends up being dissipated in the source, and although the total power dissipated is higher, due to a lower total resistance, it turns out that the amount dissipated in the load is reduced.
The theorem states how to choose (so as to maximize power transfer) the load resistance, once the source resistance is given. It is a common misconception to apply the theorem in the opposite scenario. It does not say how to choose the source resistance for a given load resistance. In fact, the source resistance that maximizes power transfer from a voltage source is always zero, regardless of the value of the load resistance.
The theorem can be extended to alternating current circuits that include reactance, and states that maximum power transfer occurs when the load impedance is equal to the complex conjugate of the source impedance.
Recent expository articles illustrate how the fundamental mathematics of the maximum power theorem also applies to other physical situations, such as:

mechanical collisions between two objects,
the sharing of charge between two capacitors,
liquid flow between two cylinders
the transmission and reflection of light at the boundary between two media

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  1. guyvsdcsniper

    Graphing the Power dissipated in a resistor

    I am solving #5 in the attached image. So I am graphing the power dissipated by a series circuit which : (a) Contains a constant voltage source and a variable resistor, R (b) Contains a constant current source and a variable resistor. It makes sense to me to just use the power equation that...
  2. G

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  3. patric44

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  4. D

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  5. A

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  6. marino

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  7. A

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  8. J

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  9. J

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  10. R

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  11. M

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  12. J

    Finding I1, I2, and power dissipated

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  13. kamhogo

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  14. Silverado

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  15. kostoglotov

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  16. V

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  17. kostoglotov

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  18. J

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  19. toforfiltum

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  20. P

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  21. skepticwulf

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  22. estike

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  23. CAH

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  24. B

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  25. Valkarie

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  26. P

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  27. U

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  28. A

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  29. S

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  30. P

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  31. Z

    Power dissipated in circuit: What is the total power dissipated in this circuit?

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  32. P

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  33. A

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    Homework Statement three resistors R1=R2 and R2=2R3, are connected to a battery, as show in the figure, if the power dissipated for each one is p1,p2 and p3 respectirvely;p3 must be equal to: Homework Equations P=VI P=V^2/R P=I^2*R The Attempt at a Solution I have tried to...
  34. A

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  35. A

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  36. F

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  37. E

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  38. A

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  39. A

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  40. C

    Using Kirchhoff's Laws to Find Currents, Source Current and Power Dissipated

    Homework Statement In the circuit shown in Figure Q8 below, if Vs = 10V, use Kirchoff’s Laws to determine the currents i1, i2, i3 and the source current is. Calculate the power dissipated by the resistors in this circuit. Confirm that the power dissipated by the resistors is the same as the...
  41. B

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  42. L

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  43. A

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  44. P

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  45. S

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  46. S

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  47. S

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  48. P

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  49. F

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  50. C

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