(Solved): please show all steps  1.) Voltage Vs has been charging capacitors \( \mathrm{C} 1, \mathrm{C} ...

1.) Voltage Vs has been charging capacitors \( \mathrm{C} 1, \mathrm{C} 2, \mathrm{C} 3 \) and \( \mathrm{C} 4 \) for a long time. a. Determine the equivalent capacitance connected to Vs. (10 points). b. Determine the branch voltages V1, V2, V3 and V4 across capacitors C1, C2, \( \mathrm{C} 3 \) and \( \mathrm{C} 4 \), respectively. (10 points) 2.) Switch \( S 1 \) has been closed for a long period of time. At \( t=0 \), the switch is opened. a. Show that initial voltage \( \mathrm{V}_{0} \) of \( \mathrm{C} 1 \) is \( 5 \mathrm{~V} \). (6 points) b. Determine the voltage \( V c(t) \) for \( t>0 \). (14 points)