1)In the RC-circuit shown below, R = 5R,,R, = R, , with the quantitiesR,,Vo and C given. The switch S is first placed into position 1 until the capacitor is

fullycharged. In terms of the given quantities, work out the charge and voltage on the(a)capacitor as functions of time. What is the time constant for this process? Once the capacitor has charged, the switch is moved into position 2. Again, in(b)terms of the given quantities, work out the charge and voltage on the capacitor as-functions of time and determine the time constant for the process The process of flipping the switch is repeated periodically with one cycle(c)determined as follows: S in position 1 for a period of time, t,, S in position 2 for a period of time, t,. This pattern is then repeated. The times t, and t, are chosen as integer multiples of the respective time constants. You will have to determine (and briefly justify) what a reasonable choice for these integer numbers might be in order to consider the capacitor essentially fully charged and fully discharged, respectively. Sketch the voltage across the capacitor as a function of time for two full cycles.