Question

In Circuit \(\mathrm{A}\) in Figure 3, each resistor has a resistance of \(1 \mathrm{k} \Omega\) and each capacitor has a capacitance of \(2 \mu \mathrm{F}\). Circuit A can be simplified to the equivalent Circuit B in Figure 3 .

(a) Determine the equivalent resistance R and the equivalent capacitance C. Write your final answers in the blank spaces below Circuit B in Figure 3 .

For the remainder of this question, refer to Circuit \(\mathrm{B}\). In Circuit \(\mathrm{B}\), the capacitor is allowed to charge fully by keeping the switch closed for a long time. Then, at \(t=0\), the switch is opened, and the capacitor starts to discharge.

(b) At \(t=0^{+}\), i.e., just after the switch is opened, what is the initial voltage \(V_{0}\) across the capacitor and the initial value \(I_{0}\) of the current \(I ?\)

(c) How long does it take for the voltage across the capacitor to drop to half its initial value?

Answer 1

ko Soludion ー2 2. 2. . → He dottgl elementsare 4g Series and Men desultant of them, a e ·→ So fatnO ciecuit only ela,desistance:

12V 7/s rven to Con be open Cseurt. So Wel acoss K2 > by voltage division dude, 1 2V 71stリ 12 te means @khession acdess Odderky igd.ve几 an voltege oudce 의 cjet b) o

tIpc od By tak o Rexo 93) E: 3.4, ma 3-Ansǐ =-2:mg -2. 91 x 10-3 @)