A 2.00nF capacitor with an initial charge of 5.10 C isdischarged through a 1.30k

Question

A 2.00nF capacitor with an initial charge of 5.10 C isdischarged through a 1.30k resistor. (a) Calculate thecurrent through the resistor 9.00s after the resistaceconnected across the terminals of the capacitor. (b) What charge remains on the capacitor after 8.00s? Please show all work, calculations, andsolution...thanks A 2.00nF capacitor with an initial charge of 5.10 C isdischarged through a 1.30k resistor. (a) Calculate thecurrent through the resistor 9.00s after the resistaceconnected across the terminals of the capacitor. (b) What charge remains on the capacitor after 8.00s? Please show all work, calculations, andsolution...thanks

Explanation / Answer

(a)when the capacitor is discharged through the resistorthen q = qo * e-t/RC differentiating the above equation with respect to time t weget (dq/dt) = -(1/RC) * qo * e-t/RC or I = -(qo/RC) * e-t/RC the negative vale of current indicates that the current in thecircuit decreases with time qo = 5.10 C = 5.10 * 10-6 C,R =1.30 k = 1.30 * 103 ,C = 2.00 nF = 2.00 *10-9 F and t = 9.00 s = 9.00 * 10-6 s (b)the charge on the capacitor after 8.00 s is q = qo * e-t/RC t = 8.00 s = 8.00 * 10-6 s t = 8.00 s = 8.00 * 10-6 s

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