Problem $6$ A flat coil having $160$ turns, each with an area of $0\mathrm{.}20$ m$^2,$ is placed with the plane of

its area perpendicular to a magnetic field of $0\mathrm{.}40$ T$.$ The magnetic field changers uniformly from

$0\mathrm{.}40$ T in the $+$x direction to $0\mathrm{.}40$ T in the $-$x direction in $2\mathrm{.}0$ s$.$ If the resistance of the coil is $16$ ohms,

at what rate is power generated in the coil during this change?

A$)20$ W

B$)15$ W

C$)10$ W

D$)5\mathrm{.}0$ W

E$)1\mathrm{.}0$ W