A transformer may be used to provide maximum power transfer between two AC circuits that have different impedances Z1 and Z2. This process is called impedance matching. (a) Show that the ratio of turns N1/N2 for thistransformer is                                     N1/N2 =√Z1/Z2(b) Suppose you want to use a transformer as an impedance- matching device between an audio amplifier that has an output impedance of 8.00 kΩ and a speaker that has an input impedance of 8.00 Ω. What should your N1/N2 ratio be?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.1P: (a) An ideal single-phase two-winding transformer with turns ratio at=N1/N2 is connected with a...
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A transformer may be used to provide maximum power transfer between two AC circuits that have different impedances Z1 and Z2. This process is called impedance matching. (a) Show that the ratio of turns N1/N2 for this
transformer is
                                     N1/N2 =√Z1/Z2
(b) Suppose you want to use a transformer as an impedance- matching device between an audio amplifier that has an output impedance of 8.00 kΩ and a speaker that has an input impedance of 8.00 Ω. What should your N1/N2 ratio be?

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