A solenoid coil used to produce magnetic fields for research purposes is 2.0 m long (i.e., the wire used to make the coil is much longer than 2.0 m so that when wound, the resulting coil is only 2.0 m long), with a radius of 30 cm and 1000 very closely spaced turns of copper wire (the resistivity of copper is 1.7 × 10⁻⁸ Ohm-meters). When running, the solenoid produces a field of 1.0 T in the center. How much power is dissipated in the wire through heating?