A flat coil of wire consisting of 16 turns, each with an area of 50 cm2, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 2 T to 7 T in 2.0 s. What is the magnitude of the emf (in Volts) induced in the coil? Your answer should be a number with two decimal places, do not include the unit.

Respuesta :

Answer:

The  value is  [tex]\epsilon  =  0.2 V [/tex]

Explanation:

From  the question we are told that

 The number of N  =  16 turns  

  The area is  [tex]A =  50cm^2  =  \frac{50}{10000} =0.005 \ m^2[/tex]

  The initial  magnetic field is  [tex]B_i  =  2 T[/tex]

   The  final  magnetic field is [tex]B_f  =  7 T[/tex]

   The time taken is  [tex] \Delta t  =  2.0 \  s[/tex]

Generally the magnitude of the emf is mathematically represented as

      [tex]\epsilon  =  \frac{ N A  (B_f - B_i )}{\Delta t }[/tex]

=>    [tex]\epsilon  =  \frac{  16*  0.005 (7- 2 )}{2.0  }[/tex]

=>     [tex]\epsilon  =  0.2 V [/tex]