An insulated copper wire of 100 turns is wrapped around a wooden cylindrical core of the cross-sectional area 24 cm^2. The two ends of the wire are…

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