question 1 60 marks a the combination of resistors capacitors c1 c2 c3
Question 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 Ceq when C1 = (1000 + a) nF, C2 = (2000+ B) nF, C3 =
(3000 + y) nF and C4 = (4000 + ō) nF.
15%/n(b) Referring to Fig. 1(b), calculate the dc steady state voltage VL across the load
Rs = (50 + 5) Q, C1 = (2000 + ε) nF, L2 = (300 + a) µH, C3 = (4000+ 0) nF, and
RL = (50 + A) Q. Vs= 3 V.
VL (in dc steady state)
SPICE circuit schematic
5%/n(c) Calculate the magnitudes and phases of the phasor representations of the
where f = (1000 + 3) kHz, Is = (100 + a) μA, Vs (2500 + 5) mV, R = (1800 + ε)
Q2, L= (2200 +λ) µH, C = (470+ n) pF,
i₁ (t) = 1, cos(wt + 0.5)
v₂ (t) = V.sin(wt - 1.2)
Z3 (w) = R + jwL
Magnitude (with units)
Z4 (w) =
1 + jwCR
30%/n(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.
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Vs = (3000 + a) mV, R = (2200 + B) Q, and C = (100 + y) nF.
C = Vc
Figure 1 (d)
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