1. A periodic rectangular pulse train g(t) shown in Figure Pla has amplitude A = 1V, period To = 1ms, and pulse width tau = 0.34ms. The time delay of g(t) is td = 0.25ms. This signal is applied to a circuit shown in Figure P1b. Let R = 1k2, L = 80mH. H(o) = Y()/G(@). wo = 2π/To. 0.5 g(t) 0 Figure Pla -2 -1.5 R ww -0.5 y (t) 20 t 0.5 1.5 2 x 10³ Figure P1b (a) Find the numerical values of gcn and gen of f(t) for 0 ≤ n ≤3. (b) Find the transfer function H(s) = Y(s)/F(s) or H(o) = Y(w)/F(w). (c) Find the numerical values of |H(jnwo) and ZH(jnwo) for 0 ≤n≤3. (d) Find the numerical values of ycn and y0n of y(t) for 0 ≤ n ≤3.

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NAME:
1.
A periodic rectangular pulse train g(t) shown in Figure P1a has amplitude A
= 1V, period To = 1ms, and pulse width tau = 0.34ms. The time delay of g(t) is td =
0.25ms. This signal is applied to a circuit shown in Figure P1b. Let R = 1kS2, L = 80mH.
H(o) = Y(w)/G(@). wo = 2π/To.
Figure Pla
g(t)
1
€0.5
-2
R
-1.5
-0.5
y (t)
MIST
0
0.5
1
1.5
2
× 10-3
Figure P1b
(a) Find the numerical values of gcn and g0n of f(t) for 0 ≤ n ≤3.
(b) Find the transfer function H(s) = Y(s)/F(s) or H(w) = Y(w)/F(w).
(c) Find the numerical values of |H(jnoo)] and ZH(jnwo) for 0 ≤ n ≤ 3.
(d) Find the numerical values of ycn and y0n of y(t) for 0 ≤ n ≤ 3.
sc
Transcribed Image Text:€ NAME: 1. A periodic rectangular pulse train g(t) shown in Figure P1a has amplitude A = 1V, period To = 1ms, and pulse width tau = 0.34ms. The time delay of g(t) is td = 0.25ms. This signal is applied to a circuit shown in Figure P1b. Let R = 1kS2, L = 80mH. H(o) = Y(w)/G(@). wo = 2π/To. Figure Pla g(t) 1 €0.5 -2 R -1.5 -0.5 y (t) MIST 0 0.5 1 1.5 2 × 10-3 Figure P1b (a) Find the numerical values of gcn and g0n of f(t) for 0 ≤ n ≤3. (b) Find the transfer function H(s) = Y(s)/F(s) or H(w) = Y(w)/F(w). (c) Find the numerical values of |H(jnoo)] and ZH(jnwo) for 0 ≤ n ≤ 3. (d) Find the numerical values of ycn and y0n of y(t) for 0 ≤ n ≤ 3. sc
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