Electromagnetic Induction

An insulated copper wire of 100 turns is wrapped around a wooden cylindrical core of the cross-sectional area \(24 \mathrm{~cm}^{2}\). The two ends of the wire are connected to a resistor. The total resistance in the circuit is \(12 ~\Omega\). If an externally applied uniform magnetic field in the core along its axis changes from \(1.5 \mathrm{~T}\) in one direction to \(1.5 ~\mathrm{T}\) in the opposite direction, the charge flowing through a point in the circuit during the change of magnetic field will be ___________ \(\mathrm{mC}\).