joshsgirlsx39241 joshsgirlsx39241
  • 20-08-2020
  • Physics
contestada

Calculate the peak voltage of a generator that rotates its 200-turn, 0.100 m diameter coil at 3600 rpm in a 0.800 T field.

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onyebuchinnaji
onyebuchinnaji onyebuchinnaji
  • 20-08-2020

Answer:

The peak voltage is 473.86 V

Explanation:

Given;

number of turns of generator, N = 200  turn

diameter of the coil, d = 0.1 m

radius of the coil, r = 0.05 m

Magnitude of the magnetic field, B = 0.8 T

angular frequency, ω = 3600 rpm

angular frequency, ω (rad/s) = [tex]\frac{2\pi}{60} *3600\ rpm = 377.04 \ rad/s[/tex]

The peak voltage is given by;

E = NBAω

Where;

A is the area of the coil = πr² =  π (0.05)² = 7.855 x 10⁻³ m²

E = (200)(0.8)(7.855 x 10⁻³)(377.04)

E = 473.86 V

Therefore, the peak voltage is 473.86 V

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