(a) For the circuit shown in Figure 3.1, what is the time constant, r? t=0 10 ko 3 kN 3 μ 10 V Figure 3.1 (b) For the circuit in Figure 3.1, the switch is open when t < 0, and is closed for t20. For 1< 0 the capacitor is completely discharged. Sketch the capacitor voltage as a function of time for 0

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Hi there, I am looking for a solution to part (a) and (b) of this question please. Thanks in advance

QUESTION 3
(a) For the circuit shown in Figure 3.1, what is the time constant, r?
t=0
10 kn
3 kQ
3 µF
10 V
Figure 3.1
(b) For the circuit in Figure 3.1, the switch is open when t < 0, and is closed for t20. For
1< 0 the capacitor is completely discharged.
Sketch the capacitor voltage as a function of time for 0<t< 3r. Clearly indicate on your
sketch:
(i) the initial and final capacitor voltages, and
(ii) the time constant, 7.
(c) For the circuit in Figure 3.1, operated as described in part (b) above, sketch the current
flow through the 10 kN resistor as a function of time for 0<i5 37. Clearly indicate on your
sketch the initial and final values of current.
(d) The voltage source and switch in Figure 3.1 can be replaced with a supply with a step input
capability. The supply input is found to be given by the relationship in equation 3.1:
v,(t) = Vo[u(t) – u(t – t;) – u(t – 2t,) + u(t – 3t,)]
(equation 3.1)
Sketch the supply voltage output, vs, that the above represents as a function of time, where
Vo = 10 V and tı =10 s.
(+1
Transcribed Image Text:QUESTION 3 (a) For the circuit shown in Figure 3.1, what is the time constant, r? t=0 10 kn 3 kQ 3 µF 10 V Figure 3.1 (b) For the circuit in Figure 3.1, the switch is open when t < 0, and is closed for t20. For 1< 0 the capacitor is completely discharged. Sketch the capacitor voltage as a function of time for 0<t< 3r. Clearly indicate on your sketch: (i) the initial and final capacitor voltages, and (ii) the time constant, 7. (c) For the circuit in Figure 3.1, operated as described in part (b) above, sketch the current flow through the 10 kN resistor as a function of time for 0<i5 37. Clearly indicate on your sketch the initial and final values of current. (d) The voltage source and switch in Figure 3.1 can be replaced with a supply with a step input capability. The supply input is found to be given by the relationship in equation 3.1: v,(t) = Vo[u(t) – u(t – t;) – u(t – 2t,) + u(t – 3t,)] (equation 3.1) Sketch the supply voltage output, vs, that the above represents as a function of time, where Vo = 10 V and tı =10 s. (+1
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