I need help with the homework, i have the answers for them, but I still need com

Question

I need help with the homework, i have the answers for them, but I still need comlete explenations with details!! and drawing if possible

I'm posting most of them with the answers, and I need details steps how to get to the answers

Thanks!!!

The capacitors in the figure are fully charged. Switch closed at t 0 s. At what time has the current in the 8 2 resistor decayed to half the value it had immediately after the switch was closed? Show all your work. 8 (2 60 F 20 AuF 200 (AVC) 10 V 30 (2 60 HF 02013 Paanon Eaucalon line

Explanation / Answer

Equivalent resistance is,

Req = 8 + (1 / 30 + 1 / 20)

Req = 20 ohm

equivalent capacitance is,

Ceq = 60 / 2 + 20 = 50 uF

Here,

l = lo / 2

l = lo*e^(-t / RC)

l / lo = 1 / 2 = e^(-t / 20*50*10^(-6))

ln(1 / 2) = -t / 0.001

t = -0.001*ln(1 / 2)

t = 6.93*10^(-4) s

t = 7*10^(-4) s

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