Efficiency of Maximum Power Transfer
The Maximum Power Transfer Theorem ensures efficient power transfer and minimize wastage when applied correctly. It is useful in scenarios where maximizing power usage and minimizing waste is essential, such as audio amplifiers.
Efficiency Calculation
[Tex]η_{max} = \frac{P_{L,max}}{P_{s}} [/Tex]
where,
- PL,max: Maximum amount of power transferred to load
- Ps: Power generated by the source
PL,max = [Tex]\frac{V_{th}^2}{4R_{th}} [/Tex]
Calculating Ps
[Tex]P_{s} = I^2R_{th}+I^2R_{L} [/Tex]
According to the condition of maximum power transfer: RL = Rs = Rth
[Tex]P_{s} = 2I^2R_{th} [/Tex]
And we know [Tex]I= \frac{V_{th}}{R_{s}+R_{L}} = \frac{V_{th}}{2R_{th}} [/Tex]
[Tex]P_{s} = 2*(\frac{V_{th}}{2R_{th}})^2R_{th} [/Tex]
[Tex]P_{s} = (\frac{V_{th}^2}{2R_{th}}) [/Tex]
Hence efficiency will be:
[Tex]η_{max} = \frac{(\frac{V_{th}^2}{4R_{th}})}{(\frac{V_{th}^2}{2R_{th}})} [/Tex]
[Tex]η_{max}= \frac{1}{2} = 50% [/Tex]
Therefore, the efficiency of Maximum Power Transfer theorem is 50%
Maximum Power Transfer Theorem
In this article, we will study about Maximum Power Transfer Theorem. The Maximum Power is transferred in the circuit when the load impedance is matched with the source impedance. This theorem helps in increasing the efficiency and performance of the circuit. It is very helpful in circuit design. In this article, we will learn more about Maximum Power Transfer Theorem, We will see the Maximum Power Transfer Formula, Maximum Power Transfer Theorem Proof, Efficiency of Maximum Power Transfer and at last we Will go through Some Examples.
Table of Content
- What is the Maximum Power Transfer Theorem?
- Maximum Power Transfer Theorem Proof
- Efficiency of Maximum Power Transfer
- Maximum Power Transfer Theorem for AC Circuits
- How to Solve Network using Maximum Power Transfer Theorem?
- Solved Example on Maximum Power Transfer Theorem
- Advantages and Disadvantages of Maximum Power Transfer Theorem
- Applications of Maximum Power Transfer Theorem