Question

A generator uses a coil that has 110 turns and a 0.42-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

44 m.

Step-by-step explanation:

Given,

Number of turns, N = 110 turns

Magnetic field, B = 0.42 T

frequency, f = 60 Hz

emf rms value = 120 V

Now, Peak emf calculation

`\epsilon_0 = √(2) \epsilon`

`\epsilon_0 = √(2)* 120`

`\epsilon_0 = 170\ V`

Now, Total length calculation

`L = 4\sqrt{(N\epsilon_0)/(B\omega)}`

`L =4 \sqrt{(N\epsilon_0)/(B(2\pi f))}`

`L =4* \sqrt{(110* 170)/(0.42* (2\pi* 60))}`

L = 44 m(approx.)

Length of the coil is equal to 44 m.