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A controller on an electronic arcade game consists of a variable resistor connected across the plates of a 0.220 μ F capacitor. The capacitor is charged to 5.00 V, then discharged through the resistor. The time for the potential difference across the plates to decrease to 0.800 V is measured by a clock inside the game. If the range of discharge times that can be handled effectively is from 10.0 μ s to 6.00 ms, what should be the (a) lower value and (b) higher value of the resistance range of the resistor?

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