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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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    This posting contains the solution to the given problem regarding transformers and power transfer.