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  3. to measure the capacitance c of a capacitor, you a

To measure the capacitance C of a capacitor, you attach the capacitorto a battery and...

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To measure the capacitance C of a capacitor, you attach the capacitorto a battery and wait until it is fully charged. You then disconnect thecapacitor from the battery and let it discharge through a resistor ofresistance R. You measure the time T?/2 that it takes the voltageacross the resistor to decrease to half its initial value at the instant thatthe connection to the capacitor is first completed. You repeat this forseveral different resistors. You plot the data as T?/2 versus R and findthat they lie close to a straight line that has slope 4.00 uF.?Part AWhat is the capacitance of the capacitor?Express your answer with the appropriate units.M

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