$A$ coil having $100$ turns and an area of $1 \times 10^{-3} \ m^2$ is placed in a magnetic field of $1 \ Wb/m^2$. If the magnetic field is reversed,what is the total charge that flows through the circuit,given that the resistance of the circuit is $10 \ \Omega$?

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