A class of science students was assigned to design a step up transformer. The sc

Question

A class of science students was assigned to design a step up transformer. The science laboratory uses outlets of 220 V AC. The instructor asked the class to design the transformers as efficiently as possible. She also gave the class a specific value for the output voltage. Two students submitted the following designs (20 Points):

1) Np = 5 loops, Ns = 20 loops.
2) Np = 5,000 loops, Ns = 20,000 loops

A) What is the output voltage for the first design? For the second design?
B) Which design is better and why?

Explanation / Answer

Vs / Vp = Ns / Np ==> Vs = Vp Ns / Np = (220 V) (20) / (5) = (220 V) (20000) / (5000) = 880 V Design (1) (Np = 5 loops, Ns = 20 loops) is better because it uses less wire. Both designs have the same output voltage because they have the same ratio of loops.

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