Question

A generator uses a coil that has 100 turns and a 0.50-T magnetic field. The frequency of this generator is 60.0 Hz, and its emf has an rms value of 120 V. Assuming that each turn of the coil is a square (an approximation), determine the length of the wire from which the coil is made

Answer 1

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=$E_{rms}=120 V$

We have to find the length of the wire from which the coil is made.

Peak value of emf=$E_0=E_{rms}\sqrt 2=120\times \sqrt 2=169.7 V$

Length of wire=$4\sqrt{\frac{NE_0}{2\pi fB}}$

Substitute the values

Length of wire=$4\times \sqrt{\frac{169.7\times 100}{0.50\times 2\pi\times 60}}$

Length of wire=38 m

Hence, the length of wire from which the coil is made=38 m