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Practical Electronics/Parallel RL
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Practical Electronics
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Summary
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Circuit
Symbol
Series
Parallel
RL
An RL parallel circuit
Impedance
Z
Z
t
=
R
+
ω
L
{\displaystyle Z_{t}=R+\omega L}
Z
t
=
ω
R
L
R
+
ω
L
{\displaystyle Z_{t}={\frac {\omega RL}{R+\omega L}}}
Voltage
V
V
=
I
R
+
L
d
I
d
t
{\displaystyle V=IR+L{\frac {dI}{dt}}}
I
=
V
R
+
1
C
∫
V
d
t
{\displaystyle I={\frac {V}{R}}+{\frac {1}{C}}\int Vdt}
Current
I
d
I
d
t
=
(
V
−
I
R
)
1
L
{\displaystyle {\frac {dI}{dt}}=(V-IR){\frac {1}{L}}}
∫
V
d
t
=
C
(
I
−
V
R
)
{\displaystyle \int Vdt=C(I-{\frac {V}{R}})}
Phase Angle
I
tan θ =
ω
L
R
{\displaystyle \omega {\frac {L}{R}}}
= 2πf
L
R
{\displaystyle {\frac {L}{R}}}
f = (Tanθ/2π)
R
L
{\displaystyle {\frac {R}{L}}}
t = (2π/Tanθ)
L
R
{\displaystyle {\frac {L}{R}}}
tan θ =
ω
L
R
{\displaystyle \omega {\frac {L}{R}}}
= 2πf
L
R
{\displaystyle {\frac {L}{R}}}
f = (Tanθ/2π)
R
L
{\displaystyle {\frac {R}{L}}}
t = (2π/Tanθ)
L
R
{\displaystyle {\frac {L}{R}}}