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find flux linkage of the primary and the secondary inductors A transformer has 1

ID: 1812743 • Letter: F

Question

find flux linkage of the primary and the secondary inductors

A transformer has 100 turns on the primary (terminals 1-1?) and 200 turns on the secondary (terminals 2-2?) as shown in the figure. (The current/voltage directions drawn are reference directions.) A current in the primary causes a magnetic flux which links all turns of both the primary and the secondary. The flux decreases according to the law phi = exp(-t), when t is greater than or equal to 0. Find (a) the flux linkages of the primary and secondary, (b) the voltage induced in the secondary.

Explanation / Answer

(a)

flux linkage in primary = N1 X phi = 100 exp(-t) Weber-turns

flux linkage in secondary= N2 X phi = 200 exp(-t) Weber-turns


(b) voltage induced in secondry = d/dt (flux linkage) = -200 exp(-t) ANSWER


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