IMPEDANCE :
“Impedance
is the total resistance/opposition offered by the circuit elements to the flow
of alternating or direct current!”
OR
“The
impedance of a circuit is the ratio of the phasor voltage (V) to the phasor current
(I)”
Z=V/I
As complex quantity,
we can write as:
Z=R+jX
It is a
vector (two-dimensional) quantity consisting of two independent scalar
(one-dimensional) phenomena: resistance and reactance !
RESISTANCE:
RESISTANCE:
“Resistance
of an element denotes its ability to resists the flow of electric current”
OR
“It
is a measure of the extent to which a substance opposes the movement of
electrons among its atoms”
It is
denoted by R.
The more
easily the atoms give up and/or accept electrons, the lower the resistance,
which is measured in ohms.
Types of Resistance:
·
HIGH
RESISTANCE :
Substances with
High-resistance are called insulators or dielectrics, and include materials
such as polyethylene, mica, and glass.
·
LOW
RESISTANCE:
Substances
with low-resistance are called electrical conductors, and include materials
such as copper, silver, and gold.
·
INTERMEDIATE RESISTANCE:
Substances with
intermediate levels of resistance are called semiconductors, and include
materials such as silicon, germanium, and gallium arsenide.
REACTANCE:
“Reactance is a form of opposition that
electronic components exhibit to the passage of AC (alternating current) because of
capacitance or inductance”
It
is denoted by X.
It is
expressed in ohms.
It is
observed for AC (alternating current), but not for DC (direct current).
TYPES OF REACTANCE:
·
INDUCTIVE
REACTANCE:
When AC (alternating current) passes through a
component that contains reactance, energy might be stored and released in the
form of a magnetic field which is known as inductive reactance.
It is denoted
by +jXL
·
CAPACITIVE
REACTANCE:
When AC (alternating current) passes through a
component that contains reactance, energy might be stored and released in the
form of an electric field which is known as capacitive reactance.
It is denoted
by -jXC
EXPLAINATION:
Reactance is conventionally multiplied by the
positive square root of -1, which is the unit imaginary number called the j operator, to express Z as a complex number of the form R + jXL
(when the net reactance is inductive) or R
- jXC (when the net
reactance is capacitive).
ADMITTANCE :
“Admittance
is the allowance of circuit elements to the flow of alternating current or
direct current “.
OR
“It is the
inverse of impedance”
It is denoted by Y.We can write as:
Y=1/Z=I/V
As complex
quantity, we can write as:
Y=G+jB
Admittance is a vector quantity comprised of two independent scalar phenomena: conductance and susceptance
CONDUCTANCE:
”Conductance
is the ability of an element to conduct electric current.”
OR
“It is the
inverse of resistance”
It is denoted by G.
G=1/R
The more easily the charge carriers move in
response to a given applied electric potential, the higher the conductance,
which is expressed in positive real-number (Siemens)
or (Mhos).Conductance is observed with AC and also with direct current DC.
SUSCEPTANCE:
”Susceptance
is an expression of the readiness with which an electronic component, circuit,
or system releases stored energy as the current and voltage fluctuate”
OR
“It is a
reciprocal of reactance”
It
is denoted by B.
B=1/X
Susceptance is expressed in imaginary number Siemens. Susceptance is observed with AC, but not for DC.
TYPES OF SUSCEPTANCE:
·
INUDUCTIVE
SUSCEPTANCE:
When AC (alternating current) passes through
a component that contains susceptance, energy might be stored and released in
the form of a magnetic field which is known is inductive susceptance.It is denoted by - jB L
·
CAPACITIVE
SUSCEPTANCE:
When AC (alternating current) passes through
a component that contains susceptance, energy might be stored and released in
the form of an electric field which is known is capacitive susceptance.It is denoted by + jB C
EXPLAINATION:
Admittance is the vector sum of conductance and susceptance. Susceptance is conventionally multiplied by the positive square root of -1, the unit imaginary number called symbolized by j , to express Y as a complex quantity G - jB L (when the net susceptance is inductive) or G + jB C (when the net susceptance is capacitive).
In parallel circuits, conductance and susceptance add together independently to yield the composite admittance. In series circuits, conductance and susceptance combine in a more complicated manner. In these situations, it is easier to convert conductance to resistance, susceptance to reactance, and then calculate the composite impedance.
Impedance & Admittance:
ELEMENT
|
IMPEDENCE
Z=V/I
|
ADMITTANCE
Y =
I/V
|
R
|
ZR=
R
|
YR=
1/R
|
L
|
ZL= jwL
|
YL=
1/jwL
|
C
|
ZC=
1/jwC
|
YC=
jwC
|
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ReplyDeleteNice explained
ReplyDeleteNice contents
ReplyDeleteNot so brief..🙂😒
ReplyDeleteI like it.
ReplyDeleteGood explain
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ReplyDeleteNice explanation !
ReplyDeleteI am very easily understood, nice 👌👌
ReplyDeleteIf Y=1/Z and Z=R+X, then Y=1/(R+X). Also Y=G+B and this gives us G+B=1/(R+X). Recall that G=1/R and B=1/X. This further gives us (1/R)+(1/X)=1/(R+X) which is false.
ReplyDeleteNow I ask how to solve for the admittance Y given the resistance R and reactance X. Do we just add the two and then get the reciprocal, or do we get the reciprocals of the two and then add? Please clarify it. Thank you in advance.
Nice one
ReplyDelete