V + R₁ ww M R₂ + vc(t) For the circuit to the left, the DC voltage source has V = +12 V. The resistors have resistances

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V R Ww M R Vc T For The Circuit To The Left The Dc Voltage Source Has V 12 V The Resistors Have Resistances 1 (104.91 KiB) Viewed 18 times

V + R₁ ww M R₂ + vc(t) For the circuit to the left, the DC voltage source has V = +12 V. The resistors have resistances R₁ = 6k and R₂ = 3k. The capacitor has capacitance C = 0.5 mF and vc (0) = 0V. The switch S₁ starts open, closes at t = 0, and opens again when uvc(t) = 10.5 V. Part (a): Write an ordinary differential equation (ODE) for vc(t) for the duration when the switch is closed. Part (b): Write an ODE for vc(t') after the switch opens up again for an appropriate choice of t'. Part (c): Sketch and completely label (axis labels, transition times, and transition values) a plot of vc (t).