Walker, Halliday & Resnick — Induction and Inductance: Problem 73

73 One hundred turns of (insulated) copper wire are wrapped around a wooden cylindrical core of cross-sectional area $1.90 \times 10^{-3} \text{ m}^2$. The two ends of the wire are connected to a resistor. The total resistance in the circuit is $9.50 \ \Omega$. If an externally applied uniform longitudinal magnetic field in the core changes from $1.60 \text{ T}$ in one direction to $1.60 \text{ T}$ in the opposite direction, how much charge flows through a point in the circuit during the change?