Calculate the impedance Zab of the following combinations shown below. 50 2 a) a W- b 502 1uF b) frequency = 1 kHz a HE b 202 60uF c) frequency = 20 kHz m HE b a 502 d) frequerncy 500 H7 a

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Calculate the impedance Zab of the following combinations shown below.
50 2
a)
a
502
1uF
b) frequency = 1 kHz
b
a
202
60uF
c) frequency = 20 kHz
a W E
b
502
a
d) frequency = 500 Hz
10mH
4k2
40pF
e) frequency =1 MHz
b
a
1mH
Transcribed Image Text:Calculate the impedance Zab of the following combinations shown below. 50 2 a) a 502 1uF b) frequency = 1 kHz b a 202 60uF c) frequency = 20 kHz a W E b 502 a d) frequency = 500 Hz 10mH 4k2 40pF e) frequency =1 MHz b a 1mH
Formulas:
. ω=2xπ x f
A cos(wt + 0) → A L0
• V =|*Z
Polar to rectangular:
Polar: R 20
a = R x sin 0
b = R x cos 0
Rectangular: a + j b
Rectangular to polar:
Rectangular: a + jb
R = Va? + b2
e = tan-1
Polar: R 20
Component
Value
Reactance (X)
Impedance Z
Impedance Z (Polar)
(Rectangular)
R+ Oi
R
R L0
Resistor
Yuc or /2mf c_ | /jwc or /wc
C
Vc4- 90°
Capacitor
L.
wL or 2nf L
jwl
wL 290°
Inductor
Admittance Y =
Impedance Z
Always draw impedance phasors with reference as resistor impedance. For
example, if you have a 200 ohm resistor, an inductor with impedance of 100
ohms, and capacitor with impedance of 1000 ohms:
100290°
20020°
10002 - 90°
• Similarly, current and voltage phasors can also be drawn.
Transcribed Image Text:Formulas: . ω=2xπ x f A cos(wt + 0) → A L0 • V =|*Z Polar to rectangular: Polar: R 20 a = R x sin 0 b = R x cos 0 Rectangular: a + j b Rectangular to polar: Rectangular: a + jb R = Va? + b2 e = tan-1 Polar: R 20 Component Value Reactance (X) Impedance Z Impedance Z (Polar) (Rectangular) R+ Oi R R L0 Resistor Yuc or /2mf c_ | /jwc or /wc C Vc4- 90° Capacitor L. wL or 2nf L jwl wL 290° Inductor Admittance Y = Impedance Z Always draw impedance phasors with reference as resistor impedance. For example, if you have a 200 ohm resistor, an inductor with impedance of 100 ohms, and capacitor with impedance of 1000 ohms: 100290° 20020° 10002 - 90° • Similarly, current and voltage phasors can also be drawn.
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