Explanation:
Length of rectangular coil, l = 25 cm = 0.25 m
Breadth of the rectangular coil, b = 15 cm = 0.15 m
Magnetic field, B = 1.6 T
Frequency, f = 75 Hz
Maximum emf, V = 56.9 V
The EMF produced in the coil is given by :
[tex]V=NAB\omega[/tex]
Where
A is the area of coil
[tex]N=\dfrac{V}{AB\omega}[/tex]
[tex]N=\dfrac{56.9}{0.25\times 0.15\times 1.6\times 2\pi\times 75}[/tex]
N = 2.01
or
N = 2
So, the number of turns in the coil is 2. Hence, this is the required solution.
