A Bar Magnet Is Pushed Through a Coil of Wire $0.020 \mathrm {~m} ^ { 2 }$

Multiple Choice

A bar magnet is pushed through a coil of wire of cross-sectional area $0.020 \mathrm {~m} ^ { 2 }$ as shown in the figure. The coil has seven turns, and the rate of change of the strength of the magnetic field in it due to the motion of the bar magnet is $0.040 \mathrm {~T} / \mathrm { s }$ . What is the magnitude of the induced emf in that coil of wire?

A) $5.6 \times 10 ^ { - 4 } \mathrm {~V}$
B) $5.6 \times 10 ^ { - 2 } \mathrm {~V}$
C) $5.6 \times 10 ^ { - 3 } \mathrm {~V}$
D) $5.6 \times 10 ^ { - 5 } \mathrm {~V}$
E) $5.6 \times 10 ^ { - 1 } \mathrm {~V}$