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MHT CET 2024 (16 May, Shift 2) · AC Generator & Transformer

AC Generator & Transformer question from MHT CET 2024 (16 May, Shift 2)

Q22MHT CET 2024 · 16 MAY · SHIFT 2Medium

AC Generator & Transformer

If a transformer of an audio amplifier has output impedance $8000\,\Omega$ and the speaker has input impedance $8\,\Omega$ , the primary and secondary turns of this transformer connected between the output of amplifier and to loudspeaker should have the ratio

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Answer: (d)

Impedance matching: $\dfrac{Z_p}{Z_s} = \left(\dfrac{N_p}{N_s}\right)^2$ .
$\left(\dfrac{N_p}{N_s}\right)^2 = \dfrac{8000}{8} = 1000 \Rightarrow \dfrac{N_p}{N_s} \approx 31.6 \approx 32$
So the answer is (d) 32 : 1.

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