an electric generator has an 18-cm-diameter, 120-turn coil that rotates at 60 hz in a uniform magnetic field that is perpendicular to the rotation axis.

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The magnetic field strength is needed to generate a peak voltage 0.15 T.

The given parameters;

  • diameter of the coil, d = 18 cm
  • radius of the coil, r = 9 cm
  • number of turns, N = 120 turns
  • frequency, f = 60 Hz
  • Peak voltage, E = 170 V

The area of the coil is calculated as follows;

[tex]A = \pi r^2\\\\A = \pi \times 0.09^2\\\\A = 0.0255 \ m^2[/tex]

The maximum emf induced in the coil is calculated as follows;

[tex]E_{max} = NBA \omega \\\\B = \frac{E_{max}}{NA\omega } \\\\[/tex]

where;

  • B is the magnetic field strength
  • ω is the angular frequency = 2πf

[tex]B = \frac{170 }{120 \times 0.025 \times 2\pi \times 60 } \\\\B = 0.15 \ T[/tex]

Thus, the magnetic field strength is needed to generate a peak voltage 0.15 T.

"Your question is not complete, it seems to be missing the following information";

An electric generator has an 18-cm-diameter, 120-turn coil that rotates at 60 hz in a uniform magnetic field that is perpendicular to the rotation axis.

What magnetic field strength is needed to generate a peak voltage of 170 V?

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