# Problem: A coil with 100 turns and a radius of 2 cm lies in the xy-plane with a magnetic field  pointing in the z-direction. For 1 s, the magnetic field increases smoothly by 1.2 mT. For 0.5 s, the magnetic field has a value of 2.7 mT. And, for 1.2 s, the magnetic field increases smoothly by 2.2 mT. From start to finish, how much heat was radiated by the coil if it has a resistance of 15 Ω?

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A coil with 100 turns and a radius of 2 cm lies in the xy-plane with a magnetic field  pointing in the z-direction. For 1 s, the magnetic field increases smoothly by 1.2 mT. For 0.5 s, the magnetic field has a value of 2.7 mT. And, for 1.2 s, the magnetic field increases smoothly by 2.2 mT. From start to finish, how much heat was radiated by the coil if it has a resistance of 15 Ω?