Maximum Power Transfer for Z = 12+24 Ohms

In summary, maximum power transfer refers to the condition where the load impedance is equal to the source impedance, resulting in the transfer of maximum power from the source to the load. For a circuit with a source impedance of 12 Ohms and a load impedance of 24 Ohms, the maximum power transfer occurs at 12 Ohms. This means that the load will receive the maximum amount of power from the source, making it an efficient and optimal configuration for power transfer.
  • #1
andytb1232000
3
0

Homework Statement


Find the required value of the load to achieve maximum power transfer for Z = 12+24 ohms


Homework Equations



ZL = Zs

3. The Attempt at a Solution [/b

As the question does not state whether or not the phase or magnitude of the load can or cannot be varied. I believe the answer to be ZL= 12-24 ie the complex conjugate.
Does this seem correct?
 
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  • #2
See http://www.allaboutcircuits.com/vol_1/chpt_10/12.html
 
  • #3
andytb1232000 said:

Homework Statement


Find the required value of the load to achieve maximum power transfer for Z = 12+24 ohms


Homework Equations



ZL = Zs

3. The Attempt at a Solution [/b

As the question does not state whether or not the phase or magnitude of the load can or cannot be varied. I believe the answer to be ZL= 12-24 ie the complex conjugate.
Does this seem correct?


Yes.
 

1. What is the formula for calculating maximum power transfer for a circuit with an impedance of 12+24 Ohms?

The formula for calculating maximum power transfer for a circuit with an impedance of 12+24 Ohms is Pmax = (V^2)/4R, where Pmax is the maximum power transfer, V is the voltage, and R is the total impedance.

2. How does the value of impedance affect maximum power transfer in a circuit?

The value of impedance directly affects maximum power transfer in a circuit. The maximum power transfer occurs when the impedance of the load is equal to the impedance of the source. If the impedance of the load is higher or lower than the source, the maximum power transfer will decrease.

3. Can the maximum power transfer be achieved in a circuit with a complex impedance value?

Yes, the maximum power transfer can still be achieved in a circuit with a complex impedance value. The complex impedance can be converted into its polar form and the maximum power transfer can be calculated using the polar form.

4. What happens if the load impedance is higher than the source impedance in a circuit?

If the load impedance is higher than the source impedance in a circuit, the maximum power transfer will decrease. This is because a higher load impedance means that more power is dissipated in the load, resulting in less power being transferred to the load.

5. Are there any practical applications of maximum power transfer for circuits with a Z = 12+24 Ohms?

Yes, there are several practical applications of maximum power transfer for circuits with a Z = 12+24 Ohms. For example, it can be used in audio systems to ensure that the maximum power is delivered to the speakers. It can also be used in power transmission systems to optimize the transfer of power from the source to the load.

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