![]() Step 4 – Maximum Power Transfer is calculated by the equation given below.Ĭonsider the practical example of a speaker with an impedance of 8 ohms is driven by an audio amplifier with its internal impedance of 500 ohms. Step 3 – As per the maximum power transfer theorem, this R TH is the load resistance of the network, that is R L = R TH that allows maximum power transfer Step 2 – Find the Thevenin’s resistance (R TH) of the source looking through the open-circuited load terminals. Step 1 – Remove the load resistance from the circuit. Steps For Solving Network By Maximum Power Transfer Theorem To obtain maximum power transfer, the source and the load resistance are matched and with this, efficiency becomes 50% with the flow of maximum power from the source to the load. The concept of the Maximum Power Transfer theorem is that by making the source resistance equal to the load resistance, which has wide application in communication circuits where the magnitude of power transfer is sufficiently small. Thus, the total power supplied is given by the equationĭuring Maximum Power Transfer the efficiency ƞ becomes equation (3) as the load power and the source power being the same The power transfer by the source will also be the same as the power consumed by the load, i.e. Hence, it is proved that power transfer from a DC source to a resistive network is maximum when the internal resistance of the DC source network is equal to the load resistance.Īgain, with R TH = R L, the system is completely matched to the load and the source, thus, the power transfer becomes maximum, and this amount of power Pmax can be obtained by the equation shown below.Įqn (3) gives the power which is consumed by the load. P L can be maximized by varying R L and hence, maximum power can be delivered when (dP L/dR L) = 0 Putting the value of I from the equation (1) in the equation (2) we will get While the power delivered to the resistive load is given by the equation To determine the value of load resistance R L, such that it receives maximum power from the DC source is the aim of the Maximum Power Transfer theorem.Ĭonsidering Figure B the value of current will be calculated by the equation shown below ExplanationĪ variable resistance R L is connected to a DC network as shown in the circuit diagram in figure A below and figure B represents the Thevenin’s voltage V TH and Thevenin’s resistance R TH of the source network. It is also used in the speaker for transferring the maximum power from an amplifier to the speaker. The maximum power transfer theorem set their applications in communication systems which receive low strength signal. The only difference is that in the AC circuit the resistance is substituted by the impedance. The maximum power transfer theorem is applied to both the DC and AC circuits. ![]() The Maximum Power Transfer theorem is used to find out the load resistance for which the maximum amount of power would be transferred from the source to the load. Maximum Power Transfer Theorem can be explained as – A resistive load, being connected to a DC network, receives maximum power when the load resistance is equal to the internal resistance known as ( Thevenin’s equivalent resistance) of the source as seen from the load terminals. Similarly, in AC circuits, we can represent it with a complicated load having an impedance of Z L ohms. In DC circuits, we can represent the load with a resistor having a resistance of R L ohms. The amount of power accepted by a load is an important parameter in electrical and electronic applications. It assists in detecting the maximum power transmitted to the load. So, to keep up the ideal value of load resistance we developed a theorem I,e maximum power transfer theorem. ![]() If it is either less than or greater than the ideal value the maximum amount of power will not be transmitted. Therefore, the value of load resistance should be the ideal value. For this, the value of load resistance should be ideal for supply the highest amount of current toward the load. Similarly, in a radio system, the highest amount of current is supplied from the power amplifier to the antenna. A better example of this is an audio amplifier as they transmit the maximum amount of current from the amplifier to the speaker. In any electrical network, the highest amount of power is used to transmit the power to the load for its operation.
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