A Circular Conducting Loop with a Radius Of $0.50 \mathrm {~m}$

Multiple Choice

A circular conducting loop with a radius of $0.50 \mathrm {~m}$ and a small gap filled with a $10.0 - \Omega$ resistor is oriented in the $x y$ -plane. If a uniform magnetic field of $1.0 \mathrm {~T}$ , making an angle of $30 ^ { \circ }$ with the $z$ -axis, increases to $10.0 \mathrm {~T}$ , in $4.0 \mathrm {~s}$ , what is the magnitude of the current that will be caused to flow in the loop if it has negligible resistance?

A) $0 \mathrm {~A}$
B) $0.01530393 \mathrm {~A}$
C) $0.15303932 \mathrm {~A}$
D) $0.08835729 \mathrm {~A}$