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A coil having n turns and resistance 4 R . This combination is moved in time t seconds from a magnetic field W₁ weber to W₂ weber. The induced current in the circuit is

Options

  1. A- W₂-W₁ 5 R n t
  2. B- ( W ₂- W ₁ ) 5 Rt
  3. C- W₂-W₁ Rnt
  4. D- n ( W ₂- W ₁ ) Rt

Correct answer

B. - ( W ₂- W ₁ ) 5 Rt

Step-by-step solution

I =- I R ^ d dt or, I =- 1 R^ n [ W ₂- W ₁ t ₂- t ₁ ] ( W₁ and W₂ are not the magnetic field, but the values of flux associated with one turn of coil) I= -1 (R+4 R) n (W₂-W₁ ) t or, I =- n ( W ₂- W ₁ ) 5 Rt

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