רשתות מעבירות נמוכים וגבוהים
✦ בנוי על ידי פהד גאנם ✦
العربية
☀ מצב בהיר
8.1
▾
✕
τ = R · C | V
C
(t) = V
m
·(1 − e
−
t
τ
) | a = e
−
T
2·τ
| V
max
=
V
m
1 + a
| V
min
=
V
m
· a
1 + a
| V
pp
= V
max
− V
min
10.0 kΩ
10 nF
5.0 V
1.00 ms
—
—
—
—
τ = R·C = 10·10³ · 10·10⁻⁹ = 100 µs
T = 1000 µs → T/2 = 500 µs = 5·τ ⟹ a = e⁻⁵ = 0.0067
V
max
= 5 / 1.0067 = 4.97 V | V
min
= 5·0.0067 / 1.0067 = 0.03 V
T/2 = 10 µs = 0.1·τ ⟹ a = e⁻⁰·¹ = 0.9048
V
max
= 5 / 1.9048 = 2.62 V | V
min
= 2.38 V | V
pp
= 0.25 V
⚡
8.2
▾
✕
V
R
(t) = V
i
(t) − V
C
(t) | V
R
(t) = V
m
·e
−
t
τ
| a = e
−
T
2·τ
| V
peak
=
V
m
1 + a
| V
pp
=
2 · V
m
1 + a
10.0 kΩ
10 nF
5.0 V
1.00 ms
—
—
—
—
τ = R·C = 100 µs | a = e
−T/(2τ)
a = e⁻⁵ = 0.0067 → V
peak
= 5 / 1.0067 = 4.97 V → 4.97 · 0.0067 = 0.03 V
V
pp
= 2 · 4.97 = 9.93 V
a = e⁻⁰·¹ = 0.9048 → V
peak
= 5 / 1.9048 = 2.62 V → 2.62 · 0.9048 = 2.37 V
V
pp
= 2 · 2.62 = 5.25 V
〰
8.3
▾
✕
τ =
L
R
| V
R
(t) = V
m
·(1 − e
−
t
τ
) | V
L
(t) = V
m
·e
−
t
τ
| a = e
−
T
2·τ
| V
max
=
V
m
1 + a
20 mH
500 Ω
8.0 V
160 µs
—
—
—
—
τ = L / R = 20 mH / 500 Ω = 40 µs
T / (2τ) = 80 / 40 = 2 → a = e⁻² = 0.1353
V
max
= 8 / 1.1353 = 7.05 V | V
min
= 8 · 0.1353 / 1.1353 = 0.95 V | ΔV = 6.09 V
τ = 80 µs → a = e⁻¹ = 0.3679 → V
max
= 5.85 V | V
min
= 2.15 V | ΔV = 3.70 V
V
pp
= 2 · 7.05 = 14.09 V
🧲
→
🏠
♿