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Note that this is about maximum power transfer, NOT about maximum efficiency.The source resistance is assumed to be constant; the load resistant variable. If you know about calculus, you can derive the maximum power transferred by writing an expression for the power as a function of the variable load. You need no advanced calculus for this - just derivatives, which are used to get the maximum or minimum of a function (as well as high school algebra, of course). You can find the derivation (for the simplified case of a purely resistive circuit) in the Wikipedia article on "Maximum power transfer theorem", as well as a link to the more general case.
Answer Pmax=E^2/(4xRs) The maximum power is transferred when the load impedance is the complex conjugate of the source impedance. For a dc circuit or a purely resistive circuit, the load resistance equals the source resistance.
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For maximum power transfer, source resistance should match load resistance and source reactance should match load reactance with the opposite sign (so if the load is capacitive, the source should be inductive).
A; PWM is extensively used in PWM power supply whereby a fix frequency is setup but the duty cycle change to transfer power. Actually the maximum power is transferred during the rise and fall of the square wave
The Maximum Power Transfer Theorem is not so much a means of analysis as it is an aid to system design. The maximum amount of power will be dissipated by a load resistance when that load resistance is equal to the Thevenin/Norton resistance of the network supplying the power.
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According to maximum power transfer theorem for ac circuits maximum power is transferred from source to load when the load resistance is equal to the magnitude of source impedance. The source imoedance is the thevenin equivalent impedance across the load
the practical applications of maximum power transfer theorem are 1:communication systems 2:control systems * radio transmitter design
Max efficiency of energy transfer can only occur when impedence source matches the impedence of the load.
Increasing the power delivered to load motor in an electric vehicle design and a solar array loaded by a grid tied inverter are some applications of maximum power transfer theorem. Maximizing the power delivered to transmission line or antenna in a radio transmitter final amplifier stage design is another practical application.
I don't see the use of, without a purpose, deliberately seeking a lower power output than possible -- why would you waste energy? If the purpose is to control power, then the maximum power transfer theorem will predict what can possibly be delivered by the system. The theorem is telling you the design is less than ideal if you measure something less, which is always true. You can ask yourself "Can I possibly improve the design?"
I don't see the use of, without a purpose, deliberately seeking a lower power output than possible -- why would you waste energy? If the purpose is to control power, then the maximum power transfer theorem will predict what can possibly be delivered by the system. The theorem is telling you the design is less than ideal if you measure something less, which is always true. You can ask yourself "Can I possibly improve the design?"
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 be made the same as that of the source. It is claimed that Moritz von Jacobi was first to discover the maximum power (transfer) theorem which is referred to as "Jacobi's law". The theorem applies to maximum power, and not maximum efficiency. If the resistance of the load is made larger than the resistance of the source, then efficiency is higher, since most of the power is generated in the load, but the overall power is lower since the total circuit resistance goes up. If the internal impedance is made larger than the load then most of the power ends up being dissipated in the source, and although the total power dissipated is higher, due to a lower circuit resistance, it turns out that the amount dissipated in the load is reduced.
For maximum power transfer the load resistance should be equal to the source resistance.An often misunderstood theorem. It applies strictly where one wishes maximum power transfer.It was misused for example in early power systems by trying to match the generator resistance to the load resistance.And it has little application in audio systems, where Power is much less important than Distortion. [for least distortion, the output impedance of the amplifier should be less than 10% of the impedance of the load.]
Note that this is about maximum power transfer, NOT about maximum efficiency.The source resistance is assumed to be constant; the load resistant variable. If you know about calculus, you can derive the maximum power transferred by writing an expression for the power as a function of the variable load. You need no advanced calculus for this - just derivatives, which are used to get the maximum or minimum of a function (as well as high school algebra, of course). You can find the derivation (for the simplified case of a purely resistive circuit) in the Wikipedia article on "Maximum power transfer theorem", as well as a link to the more general case.
Maximum power transfer happens in a circuit when the resistance of the circuit equals the reactance. Impedance Z = R + jX. At R=X, maximum power transfer happens.