Responses/lastdep 12971979 13. The circut in the figure below contans two res st

Question

Responses/lastdep 12971979 13. The circut in the figure below contans two res stors, Ri-1.60 and R2 There are no charges on the capacitors before switch S is closed. 3.40 kn ad two capacitors, C.-2.10" and C-3.20 F, corrected to a battery wit eme , aw. R, Rg Cz (a) Determine the charge on capacitor C as a function of time (in ms), after the switch is closed. (Use the following as necessary: t.) (b) Determine the charge on capacitor C2 as·unction of tme ( charge on capacitor C asa function of time (in ms), after the switch is closed.(Use the following as Need Help? L med.

Explanation / Answer

Here,

for the ciruit

time constant is

T = Req * Ceq

T = (1.6 *10^3 * 3.4/(1.6 + 3.4)) * (2.1 + 3.2) *10^-6

T = 5.77 *10^-3 s = 5.77 ms

Now , for the voltage across capacitors

V = Vo * (1 - e^(-t/T))

V = 110 * (1- e^(-t/5.77))

for charge on C1

q1 = V * C1

q1 =2.1 * 110 * (1- e^(-t/5.77))

q1 = 231 * (1- e^(-t/5.77)) uC

b)

for the charge on q2

q2 = V * C2

q2 = 3.2* 110 * (1- e^(-t/5.77))

q2 = 352 * (1- e^(-t/5.77)) uC

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