A Conductor Is Formed into a Flat Loop That Encloses $1.0 \mathrm {~m} ^ { 2 }$

Multiple Choice

A conductor is formed into a flat loop that encloses an area of $1.0 \mathrm {~m} ^ { 2 }$ . The plane of the loop is oriented at a $30.0 ^ { \circ }$ angle with the $x y$ -plane. A uniform time-varying magnetic field is oriented parallel to the $z$ -axis. If the emf induced in the loop is $25.0 \mathrm {~V}$ , what is the rate at which the magnetic field strength is changing?

A) $29 \mathrm {~T} / \mathrm { s }$
B) $22 \mathrm {~T} / \mathrm { s }$
C) $13 \mathrm {~T} / \mathrm { s }$
D) $50 \mathrm {~T} / \mathrm { s }$