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 ohms. If the longitudinal magnetic induction in the iron changes from 1 weber \(m^{-2}\), in the direction to 1 Weber \(m^{-2}\) in the opposite direction, how much charge flows through the circuit

1
\(2 \times 10^{-2}C\)
2
\(2 \times 10^{-3}C\)
3
\(2 \times 10^{-4}C\)
4
\(2 \times 10^{-5}C\)

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