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Grade: upto college level
        The flux of magnetic field through a closed conducting loop changes with time according to the equation, Φ = at^2 + bt + c. (a) Write the SI units of a, b and c. (b) If the magnitudes of a, b and c are 0.20, 0.40 and 0.60 respectively, find the induced emf at t = 2 s. 
5 years ago

Answers : (1)

Deepak Patra
askIITians Faculty
471 Points
							Sol. ϕ = at2 + bt + c
(a) a = [ϕ/T^2] = [ϕ/t/t] = Volt /Sec
      b = [ϕ/t] = Volt
      c = [ϕ] = Weber
(b) E = d ϕ/dt  [a= 0.2, B = 0.4 ,  0.6,, t = 2s]
= 2at + b

						
5 years ago
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