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A 2.00-nF capacitor with an initial charge of 5.76 µC is discharged through a 2.

ID: 1687731 • Letter: A

Question

A 2.00-nF capacitor with an initial charge of 5.76 µC is discharged through a 2.77-kO resistor. (a) Calculate the current in the resistor 9.00 µs after the resistor is connected across the terminals of the capacitor.
mA

(b) What charge remains on the capacitor after 8.00 µs?
µC

(c) What is the maximum current in the resistor?
A
A 2.00-nF capacitor with an initial charge of 5.76 µC is discharged through a 2.77-kO resistor. (a) Calculate the current in the resistor 9.00 µs after the resistor is connected across the terminals of the capacitor.
mA

(b) What charge remains on the capacitor after 8.00 µs?
µC

(c) What is the maximum current in the resistor?
A (a) Calculate the current in the resistor 9.00 µs after the resistor is connected across the terminals of the capacitor.
mA

(b) What charge remains on the capacitor after 8.00 µs?
µC

(c) What is the maximum current in the resistor?
A

Explanation / Answer

Given Capacitor C = 2.00 x 10^-9 F Resistance R = 2.77 k-ohms Initial charge qo =5.76 x 10^-6C a) Calculate the current in the resistor 9.00 µs after the resistor is connected across the terminals of the capacitor. The current in the resistor is I = qo *( 1/( RC) ) * e^(-t /CR) Here t = 9.00 x 10^-6s Substitute the values and do the calculation b) What charge remains on the capacitor after 8.00 µs? The charge in the capacitor is q = qo[1- e-t /(CR)] Here t = 8.00 x 10^-6s Substitute the values and do the calculation c) What is the maximum current in the resistor? The maximum current in the resistor is Io = qo /( RC) Substitute the values and do the calculation.

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