Mạch điện RL
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RL nối tiếp
[
edit
]
Ở trạng thái cân bang, tong điện của R và C bang không
v
L
+
v
R
=
0
{\displaystyle v_{L}+v_{R}=0}
L
d
d
t
i
+
i
R
=
0
{\displaystyle L{\frac {d}{dt}}i+iR=0}
d
d
t
i
+
R
L
i
=
0
{\displaystyle {\frac {d}{dt}}i+{\frac {R}{L}}i=0}
d
d
t
i
+
1
T
i
=
0
{\displaystyle {\frac {d}{dt}}i+{\frac {1}{T}}i=0}
d
i
i
=
−
1
T
d
t
{\displaystyle {\frac {di}{i}}=-{\frac {1}{T}}dt}
∫
d
i
i
=
−
1
T
∫
d
t
{\displaystyle \int {\frac {di}{i}}=-{\frac {1}{T}}\int dt}
L
n
i
=
−
1
T
t
+
c
{\displaystyle Lni=-{\frac {1}{T}}t+c}
v
=
e
−
1
T
t
+
c
=
A
e
−
1
T
{\displaystyle v=e^{-{\frac {1}{T}}t+c}=Ae^{-{\frac {1}{T}}}}
A
=
e
c
=
v
R
{\displaystyle A=e^{c}={\frac {v}{R}}}
T
=
L
R
{\displaystyle T={\frac {L}{R}}}
2 port LR ổn điện tần số thấp
[
edit
]
v
o
v
i
=
1
1
+
j
ω
T
{\displaystyle {\frac {v_{o}}{v_{i}}}={\frac {1}{1+j\omega T}}}
T
=
L
R
{\displaystyle T={\frac {L}{R}}}
ω
o
=
1
T
{\displaystyle \omega _{o}={\frac {1}{T}}}
i
(
ω
=
0
)
=
v
i
{\displaystyle i(\omega =0)=v_{i}}
i
(
ω
=
ω
o
)
=
v
i
2
{\displaystyle i(\omega =\omega _{o})={\frac {v_{i}}{2}}}
i
(
ω
=
)
0
)
=
0
{\displaystyle i(\omega =)0)=0}
RL ổn điện tần số cao
[
edit
]
v
o
v
i
=
j
ω
T
1
+
j
ω
T
{\displaystyle {\frac {v_{o}}{v_{i}}}={\frac {j\omega T}{1+j\omega T}}}
T
=
L
R
{\displaystyle T={\frac {L}{R}}}
ω
o
=
1
T
{\displaystyle \omega _{o}={\frac {1}{T}}}
i
(
ω
=
0
)
=
0
{\displaystyle i(\omega =0)=0}
i
(
ω
=
ω
o
)
=
v
i
2
{\displaystyle i(\omega =\omega _{o})={\frac {v_{i}}{2}}}
i
(
ω
=
)
0
)
=
v
i
{\displaystyle i(\omega =)0)=v_{i}}
Category
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Mạch điện điện trở
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