Consider an induction stove utilizing a primary heating coil located just beneath the stove top. The circuit

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Consider an induction stove utilizing a primary heating coil located just beneath the stove top. The circuit elements in the stove supply the coil with a peak ac voltage of 340 V at a frequency of 50 kHz. The coil has 18 turns; its inductance is 80 μH and its resistance is 1.0 Ω. 

(a) What average power is dissipated in the coil when the stove is turned on but with nothing on the stove top? 

(b) What average power must the stove deliver to 1.0 L of water initially at 20°C to bring it to boiling temperature in 5.0 min?

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