A 2.00-nf capacitor with an initial charge of

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A 2.00-nF capacitor with an initial charge of 5.10 µC is discharged through a 1.30-kΩ resistor. (a) Calculate the magnitude of the current in the resistor 9.00 µs after the resistor is connected across the terminals of the capacitor. (b) What charge remains on the capacitor after 8.00 µs? (c) What is the maximum current in the resistor?
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Any help on this would be appreciated: The voltage across the capacitor is decreasing with time since the charge is decreasing. But the current in the circuit is increasing because there are a greater number of charge carriers present with increasing time. The voltage on the resistor has to match the voltage on the capacitor at all times. But for the resistor that means its potential difference is decreasing (because the p.d across the capacitor is decreasing) but the current across the resistor is increasing. Clearly the p.d can't decrease while the current increases across the resistor. What is wrong with what I've stated?

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