What exactly are they asking in this question? Optimum power transfer

In summary, the conversation is discussing the range of values for RL/RTH that would result in optimum power transfer to the load at a reasonably high power-transfer efficiency. It is mentioned that load power and source power are only the same when the load resistance is equal to the source resistance. The optimum ratio for maximum power into the load is when RL/RTH = 1, with RTH being a fixed value. There is also confusion about the terms "almost" and "reasonably high" in relation to power transfer. The equation for efficiency is also mentioned.
  • #1
InvalidID
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Homework Statement



What is the range of values for [RL/RTH] that provide a combination of “almost” optimum power transfer to the load at a reasonably high power-transfer efficiency?

Homework Equations


The Attempt at a Solution



What are they asking for in this question? What do they mean by optimum power transfer? We replaced the source network with the thevenin equivalent.
 

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  • #2
Also, I don't understand how load power and source power are not the same. They both have same voltage (VL and IL).

Attached is the equation for efficiency.
 

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  • #3
InvalidID said:
Also, I don't understand how load power and source power are not the same. They both have same voltage (VL and IL).

Attached is the equation for efficiency.

Load power and source power are the same only if the load resistance equals the source resistance.

This is a weird question indeed. "Almost"? "Reasonably high ..."?

The optimum ratio for max. power into the load is when RL/RTH = 1. RTH is fixed.
What did you get for RTH?
 

Related to What exactly are they asking in this question? Optimum power transfer

1. What is the concept of optimum power transfer?

The concept of optimum power transfer refers to the idea of maximizing the amount of power that is transferred from one electrical component or system to another. This is achieved by matching the impedance (resistance) of the load with the impedance of the source, allowing for maximum power to be delivered to the load.

2. How is optimum power transfer calculated?

Optimum power transfer is calculated using the maximum power transfer theorem, which states that maximum power is transferred when the load impedance is equal to the complex conjugate of the source impedance. This can be calculated using Ohm's Law and the impedance formula Z = R + jX, where R is the resistive component and jX is the reactive component.

3. What are some common applications of optimum power transfer?

Optimum power transfer is an important concept in electrical engineering and is utilized in various applications such as power distribution systems, audio amplifiers, and radio frequency circuits. It is also relevant in renewable energy systems, where maximizing power transfer is essential for efficient energy production.

4. How does optimum power transfer differ from maximum efficiency?

While optimum power transfer focuses on maximizing the amount of power transferred, maximum efficiency aims to minimize the losses in a system. This means that in some cases, maximum efficiency may not necessarily result in optimum power transfer. For example, a transformer may be designed for maximum efficiency, but it may not be the best for optimum power transfer.

5. Are there any limitations to optimum power transfer?

Yes, there are some limitations to optimum power transfer. One limitation is that it only applies to linear circuits and does not take into account non-linear components such as diodes or transistors. Additionally, it assumes that the source and load impedances remain constant, which may not always be the case in practical applications.

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