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Transformer and Power Transfer

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An audio transformer is required to match an amplifier of output resistance of 300 Ω to a speaker of 16 Ω.

Calculate the optimum turns ratio and briefly explain the concept of maximum power transfer.

Explain the reasons why the efficiency of a large power transformer is different from that for a small transformer.

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The maximum power transfer can be achieved when the load resistance is equal the output resistance of the amplifier. Using a transformer, the 16Ω resistor can be transformed to 300Ω using the transformer. The optimum turns ratio needed can be computed using the formula:
(Ns/Np)2 = Rp/Rs
Ns/Np ...

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