Answer:
38 m
Explanation:
Number of turns=N=100
Magnetic field=B=0.50 T
Frequency of the generator=f=60 Hz
Rms value of emf=[tex]E_{rms}=120 V[/tex]
We have to find the length of the wire from which the coil is made.
Peak value of emf=[tex]E_0=E_{rms}\sqrt 2=120\times \sqrt 2=169.7 V[/tex]
Length of wire=[tex]4\sqrt{\frac{NE_0}{2\pi fB}}[/tex]
Substitute the values
Length of wire=[tex]4\times \sqrt{\frac{169.7\times 100}{0.50\times 2\pi\times 60}}[/tex]
Length of wire=38 m
Hence, the length of wire from which the coil is made=38 m
