Final answer:
To find the power loss in a coil due to Joule heating, calculate the induced current using Faraday's law of electromagnetic induction, then compute the coil's resistance considering the resistivity of Cu and the coil's dimensions. Finally, apply Joule's law to determine power loss as the product of the square of induced current and resistance.
Step-by-step explanation:
The question is asking for the power loss in a coil due to Joule heating when it is subjected to a changing magnetic field. The power loss can be calculated using Joule's law (P = I2R), where I is the current induced in the coil by the changing magnetic field, and R is the resistance of the coil. The induced current (I) can be found using Faraday's law of electromagnetic induction (emf = -N(dΦ/dt), where N is the number of turns, and dΦ/dt is the rate of change of the magnetic flux through the coil). The resistance (R) can be calculated based on the geometry of the coil and the resistivity of Cu using the formula R = ρL/A, where ρ is the resistivity, L is the length of the copper wire, and A is the cross-sectional area of the wire.