A Faraday flashlight uses electromagnetic induction to produce energy when shaken. A magnet in the handle is free to slide back and forth through a loop with 50000 turns. The energy is stored in a 1.0-F capacitor, which can then be used to power a 0.50-W LED bulb. Suppose the area of the loop is 3.0 cm2 and that the magnetic field in the loop when the magnet is at its farthest position is 1.0 T. A voltage rectifier is used to convert the induced ac emf to dc (so the capacitor is charging when the magnet moves either way). The resistance in the circuit is 500 Ω. Estimate how many shakes (one motion of the magnet back and forth) it takes to produce enough energy for 5.0 min of operation.
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