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 $x y - p l a n e .$ If a uniform $\vec { B }$ field of $1.0 \mathrm {~T}$ making an angle of $30 ^ { \circ }$ with the $\text { z-axis, }$ increases to $10.0 \mathrm {~T} ,$ in $4.0 \mathrm {~s}$ what is the magnitude of the current that will be induced in the loop if it has negligible resistance?

A) 0.01530393 A
B) 0.08835729 A
C) 0.15303932 A
D) 0 A