You have a fixed length of wire and need to design a generator that will produce the greatest peak emf for a given frequency and magnetic field strength. You should use (a) a one-turn square coil, (b) a two-turn square coil, (c) either a one - or a two-turn square coil because both give the same peak emf for a given frequency and magnetic field strength.

Question

Physics

Sidney Hensley

25 October, 11:42

You have a fixed length of wire and need to design a generator that will produce the greatest peak emf for a given frequency and magnetic field strength. You should use (a) a one-turn square coil, (b) a two-turn square coil, (c) either a one - or a two-turn square coil because both give the same peak emf for a given frequency and magnetic field strength.

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Answers (1)

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Pitts · Answer 1

flux ∝ n of turns x area

in case of one turn:

area = (L/4) ²

= L² / 16

flux ∝ 1 x L² / 16

∝ L² / 16

In case of two turns

area = (L/8) ²

= L² / 64

Flux ∝ 2 x L² / 64

∝ L² / 32.

Since in 2 turn case flux is less, for maximum peak emf we need one turn square coil.