Suppose you wish to use a transformer as an impedance-matching device between an audio amplifier that has an output impedance of 8310 ohm and a speaker that has an input impedance of 8.74 ohm. What should be the ratio of primary to secondary turns on the transformer?

Question

radar · Answer

$$\sqrt{8.74\over8310}$$

anonymous · Answer

@radar , I think you are right :)   can you please explain?

radar · Answer

Impedance transformation is proportional to the square of the turns ratio.

anonymous · Answer

Thanks :)

radar · Answer

I have not lookled it up, but if my memory serves me right.  Although at 73 years old sometimes the memory fails me lol

radar · Answer

I will look it up, be back in a minute.

anonymous · Answer

SIr,  full respect.  I am just 17 years old :P

anonymous · Answer

Yes sir you are right --> http://nuclearpowertraining.tpub.com/h1011v4/css/h1011v4_46.htm

radar · Answer

I looked it up, turns ratio= the square root of source impedance divided by the load impedance or|dw:1335279678039:dw|