To measure the capacitance CC of a capacitor, you attach the capacitor to a battery and wait until it is fully charged. You then disconnect the capacitor from the battery and let it discharge through a resistor of resistance RR. You measure the time T1/2T1/2 that it takes the voltage across the resistor to decrease to half its initial value at the instant that the connection to the capacitor is first completed. You repeat this for several different resistors. You plot the data as T1/2T1/2 versus RR and find that they lie close to a straight line that has slope 5.50 μFμF. What is the capacitance CC of the capacitor? Express your answer with the appropriate units

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To measure the capacitance CC of a capacitor, you attach the capacitor to a battery and wait until it is fully charged. You then disconnect the capacitor from the battery and let it discharge through a resistor of resistance RR. You measure the time T1/2T1/2 that it takes the voltage across the resistor to decrease to half its initial value at the instant that the connection to the capacitor is first completed. You repeat this for several different resistors. You plot the data as T1/2T1/2 versus RR and find that they lie close to a straight line that has slope 5.50 μFμF.

What is the capacitance CC of the capacitor?
Express your answer with the appropriate units
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