Q.5: Consider the first-order circuit with the input voltage v = 4u(t) V and v(0) = 1 V in Fig. Q5. (i) Derive the first-order differential equation with the capacitor voltage v(t) as the variable; (ii) Find the current io and the output voltage vo(t). Vs 20 ΚΩ 10 kQ2 ww 2 μF HH + v Figure Q5 I %

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Q.5: Consider the first-order circuit with the input voltage v_s = 4u(t) V and v(0) = 1 V in Fig. Q5. (i) Derive the first-order differential equation with the capacitor voltage v(t) as the variable; (ii) Find the current i_0 and the output voltage v_0(t).

Q.5: Consider the first-order circuit with the input voltage v = 4u(t) V and v(0) = 1 V in
Fig. Q5. (i) Derive the first-order differential equation with the capacitor voltage v(t) as the
variable; (ii) Find the current io and the output voltage vo(t).
Vs
20 ΚΩ
10 kQ2
ww
2 μF
HH
+ v
Figure Q5
I
%
Transcribed Image Text:Q.5: Consider the first-order circuit with the input voltage v = 4u(t) V and v(0) = 1 V in Fig. Q5. (i) Derive the first-order differential equation with the capacitor voltage v(t) as the variable; (ii) Find the current io and the output voltage vo(t). Vs 20 ΚΩ 10 kQ2 ww 2 μF HH + v Figure Q5 I %
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