$A$ hundred turns of insulated copper wire are wrapped around an iron cylinder of area $1 \times 10^{-3} \ m^2$ and are connected to a resistor. The total resistance in the circuit is $10 \ \Omega$. If the longitudinal magnetic induction in the iron changes from $1 \ Wb/m^2$ in one direction to $1 \ Wb/m^2$ in the opposite direction,how much charge flows through the circuit?

  • A
    $2 \times 10^{-2} \ C$
  • B
    $2 \times 10^{-3} \ C$
  • C
    $2 \times 10^{-4} \ C$
  • D
    $2 \times 10^{-5} \ C$

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