A Round Flat Metal Coil Has 180 Turns and Negligible $17 - \Omega$

Multiple Choice

A round flat metal coil has 180 turns and negligible resistance. It is connected in a series circuit with a $17 - \Omega$ resistor, with nothing else in the circuit. You measure that a $6.0 - \mathrm { A }$ current flows through the resistor when a magnetic field through the coil, perpendicular to its area, is changing at $3.0 \mathrm {~T} / \mathrm { s }$ What is the radius of the coil?

A) 0.25 m
B) 0.014 m
C) 0.54 m
D) 0.043 m