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# The secondary winding of a transformer has an impedance of 10 ohms and 1500 turns. For the primary winding to have an impedance of 1000 ohms, how many turns must it have?

Question #44648. Asked by EbonyUK. (Feb 25 04 10:37 AM)

sequoianoir

Taking just "a transformer transforms impedance by the square of the turns ratio. The higher impedance is seen on the side with the greater number of turns-the high voltage, low current side" from SM's link.
The 1000 ohms winding (primary) must have more turns than the 10 ohm side.
By the fact the impedance ratio is 1000:10 (ie 100 to 1) the turn ratio is 10:1 (10 being the square root of 100)
So it has 10 times MORE than the secondary. ie 15,000

 Feb 25 04, 1:15 PM

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