From the circuit shown below calculate the following + Vc - C=0.05pf 10V R1=100k R2=100k a) Find the mathematical expression for the voltage across the capacitor from the previous figure, if the...

Extracted text: From the circuit shown below calculate the following + Vc - C=0.05pf 10V R1=100k R2=100k a) Find the mathematical expression for the voltage across the capacitor from the previous figure, if the switch is set to position 1 at t=0s. Calculate the voltage vc in t=10ms. Repeat the previous for ic and VR,- b) Find the mathematical expression for the voltages vc and VR, and the current iç if the switch is set to position 2 at t=30ms (Assume that the leakage resistance across capacitor =c0ohms) c) Find the mathematical expression for the voltages ve and (VR, + VR2) and for the current ic, if the switch is set to position 3 at t=48 ms. Find the voltages vc and VR + VR2 and the current iC at t = 100ms. d) Plot the waveforms obtained in the previous on the same time axis for each voltage and for current.