Problem: For the RC dc capacitive circuit in Figure 1, a. Determine the time constant of the circuit when the switch is thrown into position 1. b. Write the mathematical equation

for the voltages V, VRI, and current i, after the switch is thrown into position 1. c. Determine the voltages V, VRI, VR2, and current is when the switch is thrown into position 2 at time - 100 ms. d. Determine the new time constant if the switch is moved to position 3 at time - 150 ms. e. Write the mathematical equation for the voltages ve, VRI, Vaz, and current i, after the switch is thrown into position 3. f. Determine the voltages ve, VRI, VR2, and current i at time t = 300 ms following the instant the switch is thrown into position 3. g. Sketch the waveforms of V, VRI, VR2, and current i, for the time period extending from 0 to 400 ms. E=12V R₂ 3 kn 93 V₁₂ Vas R₁₂ 2 kn lc C 5μF