10-3. A constant voltage vs(t) IS applied to the RC circuit shown in Fig. P10.3. Assume that the switch has been in position 1 for a long time. At t = 0, the switch is moved instan- taneously to position 2. For ≥0, the voltage v(t) across the capacitor satis- fies the following differential equation and initial condition: dv(t) RC + v(t) = 0, dt 5 ΚΩ www v(0) = 10V. 1 t=0 V₁(1) C v(1) Figure P10.3 RC circuit for problem P10-3. (a) Find the transient solution, Viran (t). What is the time constant of the response? (b) Find the steady-state solution Vss (I). (c) Determine the total solution v(t). (d) Sketch the total solution v(t). How long does it take for the response to reach 1% of its initial value? www