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Fluxϕ (in weber) in a closed circuit of resistance 20capital omega varies with time t (in secon(d) according to equationϕ equals 6 t to the power of 2 end exponent minus 5 t plus 1.The magnitude of the induced current at t =0.25 s is

  1. 1.2 A  
  2. 0.8 A  
  3. 0.6 A  
  4. 0.1 A  

The correct answer is: 0.1 A


    From, Faraday’s second law,e equals negative fraction numerator d ϕ over denominator d b end fraction
    = negative left square bracket 12 t minus 5 right square bracket
    = negative open square brackets 12 cross times open parentheses 0.25 close parentheses minus 5 close square brackets equals plus 2
    Now, i equals fraction numerator e over denominator R end fraction equals fraction numerator 2 over denominator 20 end fraction equals 0.1 blank A

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