Maximum Power Transfer Theorem:

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Presentation transcript:

Maximum Power Transfer Theorem: Statement: Maximum Power Transfer Theorem states that “maximum power is transferred from the source to the load when the load resistance is equal to the Thevenin’s equivalent resistance”. i.e, RL = RTH

Substitute the value of I, Proof: and Substitute the value of I,

For max power,

Now, maximum power transfer is given by

Output power=I2RL Input power= I2RTh η = o/p power / (o/p power+i/p power) =I2RL / I2(RL+RTh) For max efficiency RL=RTh Hence efficiency η = RL/(2RL)*100= 50%

Example Evaluate RL for maximum power transfer and find the power Note: To solve a question for maximum power transfer, the thevenin equivalent needs to be calculated.

Calculation of Vth and Rth: 2 10 Rth 3 2 Vth = VA - VB = 6V Rth=(2׀׀3)+10+2=13.2Ω

Thevenin’s equivalent circuit RL should be set to 13.2Ω to get max. power transfer Max. power is

Example: Evaluate RL for maximum power transfer and find the power

Calculation of RTH : RL = RTH =6Ω

Calculation of VTH :

RL must equal to RTh = 6 ohms The maximum power transferred=