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A coil having n turns and resistance R is connected with a galvanometer of resistance 4 R . This combination is moved in time t seconds from a magnetic flwx ₁ Weber to ₂ Weber. The induced current in the circuit is

Options

  1. A₂- ₁ 5 Rnt
  2. B- n ( ₂- ₁ ) 5 Rt
  3. C- ( ₂- ₁ ) Rint
  4. D- n ( ₂- ₁ ) R t

Correct answer

B. - n ( ₂- ₁ ) 5 Rt

Step-by-step solution

Given, Number of turns in coil =n We krsow that, aligned & Current (i) = e R^ = - R^ t & [ a= - t ] & R=R+4 R & i=- ( ₂- ₁ ) (R+4 R) t & i= ( ₂- ₁ ) 5 R( t) & aligned Here, coil have n number of turns. Hence, i=- n ( ₂- ₁ ) 5 R( t) Induced current, i=- n ( ₂- ₁ ) 5 R t

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