(d) At time t = 0, the capacitor C in Fig. 1(d) is charged to Vc = +1V and the switch S is open. The switch is closed at time t

= 100 μs, connecting the voltage source Vs to the RC network. Calculate the voltage on the capacitor at time t = 200 μs: Vs = (3000 + a) mV, R = (2200+B) 02, and C = (100 + y) nF. S R Vc(200μs) Vs SPICE circuit schematic SPICE output C + Vc Figure 1(d) 20% 5% 5%/n(C) Calculate the magnitudes and phases of the phasor representations of the following quantities: e (i) (ii) where f = (1000 + 3) kHz, Is = (100+ a) μA, Vs = (2500 + 5) mV, R = (1800 + E) Q2, L= (2200 +λ) μH, C = (470+ n) pF, (iii) (1) (ii) (iii) (iv) (iv) i₁(t) = 1,cos(wt +0.5) v₂(t) = Vssin(wt - 1.2) Z3 (w) = R + jwL R Z4(w) = Magnitude (with units) 1+ jwCR Phase (degrees) Phase (radians) 30%/nQuestion 1 (60 marks) (a) The combination of resistors capacitors C1, C2, C3 and C4 in Fig. 1(a) is equivalent to a single capacitor Ceq. Calculate the value of Ceg when C1 = (1000 + a) nF, C2 = (2000+ B) nF, C3 = (3000 + y) nF and C4 = (4000 + ō) nF. C1 C2 Ceg www. C4 C3 Figure 1(a) Ceq 15%