Electrical Engineering - Transformers - Discussion

Source side will be taken as primary then r1=80 and we have to match to secondary(loadside) given that it is 320 ie r1'=320.

Actually we know that whenever primary referred to secondary,
r1'=ksquare*r1.

So here,

ksquare*r1 = 320 that implies that,

ksquare = 320/r1=320/80=4.

i.e., ksquare = 4 then k=2.

Here k = tranaformation ratio.

Because the impedances is the square of the turns ratio.

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(Turns ratio)*2 = load impedance/source impedance.

Square root of Load impedance/source impedance.

Then answer is 4.

Source belongs to primary winding where as load belongs to secondary winding. So in order to match or transfer impedance from primary side to secondary, k^2 (turns ratio) should be multiplied with primary impedance, then it will be equated with secondary impedance (matching is to obtain maximum power transfer). This is as illustrated.

80*k^2 = 320.
k^2 = 4.
k = 2.

In case transfer from secondary to primary, secondary impedance must be multiplied with 1/k^2. Equate it to primary impedance for matching. Same result will be obtained.

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