Question

A wire of length L is wound into a square coil with 167 turns and used in a generator that operates at 60.0 Hz and 120 V rms value in a 0.041-T magnetic field. What is the length L of the wire used to construct the coil

Answer 1

`171.43m`

Step-by-step explanation:

First, define
`emf`( electromotive force )-is the unit electric charge imparted by an energy source. In this case the generator.

The peak emf is:

`E_p_e_a_k=\sqrt2(E_m_a_x)`=
`\sqrt(2* 120V)=170V`

Substituting
`w=2\pi f` and the value for peaf
`E` gives:

Total length=
`4\sqrt {(NE_p_e_a_k)/(Bw)`=
`4\sqrt{(167* 170)/(0.041T* 2pi * 60.0Hz)`

=
`171.43m`

Hence, wire's length is 171.43m