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

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) $0.25 \mathrm {~m}$
B) $0.014 \mathrm {~m}$
C) $0.043 \mathrm {~m}$
D) $0.54 \mathrm {~m}$