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COMEDK2014PhysicsElectromagnetic Induction

The normal magnetic flux passing through a coil changes with time according to the equation =6 t²-5 t+1 . What is the magnitude of the induced current at t=0.253 ~s and resistance 10 ?

Options

  1. A1.2 ~A
  2. B0.8 ~A
  3. C0.6 ~A
  4. D0.2 ~A

Correct answer

D. 0.2 ~A

Step-by-step solution

Given, magnetic flux =6 t²-5 t+1, R=10 Induced emf, e=- d d t =- d d t (6 t²-5 t+1 )e=-12 t+5 At t=0.253 ~s , e=-12 0.253+5=-3.036+5=1.964 ~V Induced current, I= e R = 1.964 10 =0.1964 ~A 0.2 ~A

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