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]