As Shown in the Figure, a Uniform Magnetic Field $B$ Is Confined to a Cylindrical Volume of Radius

As shown in the figure, a uniform magnetic field $B$ is confined to a cylindrical volume of radius $0.050 \mathrm {~m}$ . This field is directed into the plane of the page and is increasing at a constant rate of $0.900 \mathrm {~T} / \mathrm { s }$ . Calculate the magnitude and direction (clockwise or counterclockwise) of the current induced in a circular wire ring of radius $0.16 \mathrm {~m}$ and resistance $7.1 \Omega$ that encircles the magnetic field region.