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 50 000 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 cm 2 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.