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A circular coil with a radius of 0.12 m and 20 turns is rotated in a uniform magnetic field of 1.6 T. The coil rotates with a constant frequency of 1.4 Hz. Determine the maximum value of the emf induced in the coil. Answer in units of V.

Respuesta :

Answer:

e = 12.72 V

Explanation:

given,

radius of circular coil = 0.12 m

number of turns, N = 20

magnetic field, B = 1.6 T

frequency, f = 1.4 Hz

maximum emf =  ?

∅ =  N A B cos ωt

emf

[tex]e = -\dfrac{d\phi}{dt}[/tex]

[tex]e = -\dfrac{d}{dt}(N A B cos \omega t)[/tex]

e = N A B ω sin ωt

for maximum induced emf

e = N A B ω

ω = 2 π f

ω = 2 π x 1.4 = 8.79 rad/s

e = 20 x π x r² x  B x ω

e = 20 x π x 0.12² x  1.6 x 8.79

e = 12.72 V

hence, the maximum value of induced emf is equal to e = 12.72 V

samueladesida43

The maximum value of the emf induced in the coil in units of V is 12.4V

HOW TO CALCULATE ELECTROMAGNETIC FORCE (EMF)?

The emf of a coil can be calculated using the following expression:

e = N A B ω sin ωt

For a maximum induced emf

e = N A B ω

ω = 2 π f

Where;

  • radius of circular coil = 0.12 m
  • number of turns, N = 20
  • magnetic field, B = 1.6 T
  • frequency, f = 1.4 Hz
  • maximum emf = ?

ω = 2 π x 1.4 = 8.79 rad/s

e = 20 x π x r² x B x ω

e = 20 x π x 0.12² x 1.6 x 8.79

e = 12.72 V

Therefore, the maximum value of the emf induced in the coil in units of V is 12.4V.

Learn more about emf at: https://brainly.com/question/118936

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