Take your ID number and sum the first and last digits together. Take this value to replace the variable K in Q3 and Q4. (e.g. if your ID were 30463117, the

sum would be 3 + 7 = 10 =K). Q3. An ideal voltage source is connected in the arrangement shown in Fig. Q3, with three resistances and one capacitor (assumed ideal). For time t <0 all voltages and currents in the circuit are zero (including Vin(t)). For t 20 Vin(t)= K Volts. Vin(t) 10 20 ΚΩ (c) 40k0 Vin(t) = 0.2 d 20 ΚΩ IB Fig Q3 (a) Show the differential equation for Vout(t) for this circuit can be derived as yout de(t) + 1.5Vout(t) 4μF Vout(t) Show each stage of the calculations (Eq.3.1) [5 Marks] (b) Calculate the time constant of the circuit from the general solution of the differential equation, using (Eq.3.1) [5 Marks] Determine the complete solution for Vout(t) for t20 [5 Marks]