Question

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.

Answer 1

Step-by-step explanation:

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.