A thermocol vessel contains 0.5 kg of distilled water at 30∘ C. A metal coil of area 5×10^−3 m^2, number of turns 100, mass 0.06 kg and resistance 1.6 Ω is lying horizontally at the bottom of the vessel. A uniform time-varying magnetic field is set up to pass vertically through the coil at time t=0. The field is first increased from zero to 0.8T at a constant rate between 0 and 0.2s and then decreased to zero at the same rate between 0.2and0.4s. the cycle is repeated 12000 times. Make sketches of the current through the coil and the power dissipated in the coil as function of time for the first two cycles. Clearly indicate the magnitude of the quantities on the axes. Assumes that no heat is lost to the vessel or the surroundings. Determine the final temperature of water under thermal equilibrium. Specific heat of metal =500 j kg^−1 K^−1 and the specific heat of water =4200 j kg^−1 K^−1. Neglect the inductance of coil.
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