A 47 μF capacitor is connected in series to a second capacitor of unknown value. The series combination is then charged by connecting it across a potential difference of 30 V. The charging source is removed and the charged capacitors are connected across a 10 M resistor and allowed to discharge. The potential difference across the resistor falls from 30 V to 20 V in 2 minutes. a) i. Determine the time constant of the discharge circuit. ii. Determine the capacitance of the series combination of capacitors. iii. Determine the capacitance of the 2nd capacitor. iv. Determine the charge stored on the series combination when the potential difference across it is 15 V.

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A 47 μF capacitor is connected in series to a second capacitor of unknown
value.
The series combination is then charged by connecting it across a potential
difference of 30 V.
The charging source is removed and the charged capacitors are connected
across a 10 MS resistor and allowed to discharge.
The potential difference across the resistor falls from 30 V to 20 V in
2 minutes.
a) i. Determine the time constant of the discharge circuit.
ii.
iii.
iv.
Determine the capacitance of the series combination of capacitors.
Determine the capacitance of the 2nd capacitor.
Determine the charge stored on the series combination when the
potential difference across it is 15 V.
Transcribed Image Text:A 47 μF capacitor is connected in series to a second capacitor of unknown value. The series combination is then charged by connecting it across a potential difference of 30 V. The charging source is removed and the charged capacitors are connected across a 10 MS resistor and allowed to discharge. The potential difference across the resistor falls from 30 V to 20 V in 2 minutes. a) i. Determine the time constant of the discharge circuit. ii. iii. iv. Determine the capacitance of the series combination of capacitors. Determine the capacitance of the 2nd capacitor. Determine the charge stored on the series combination when the potential difference across it is 15 V.
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