As Shown in the Figure, a Wire and A $10 - \Omega$

Multiple Choice

As shown in the figure, a wire and a $10 - \Omega$ resistor are used to form a circuit in the shape of a square with dimensions $20 \mathrm {~cm}$ by $20 \mathrm {~cm}$ . A uniform but non-steady magnetic field is directed into the plane of the circuit. The magnitude of the magnetic field is steadily decreased from $2.70 \mathrm {~T}$ to $0.90 \mathrm {~T}$ in a time interval of $96 \mathrm {~ms}$ . What is the induced current in the circuit, and what is its direction through the resistor?

A) $75 \mathrm {~mA}$ , from $b$ to $a$
B) $45 \mathrm {~mA}$ , from $b$ to $a$
C) $45 \mathrm {~mA}$ , from $a$ to $b$
D) $110 \mathrm {~mA}$ , from $a$ to $b$
E) $75 \mathrm {~mA}$ , from $a$ to $b$