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Alternating Current
&
Circuit Analysis
Course Code: PHY123
Course Teacher: Ms. Kishwar-E Hasin
Section:P Depertment:CSE(43 Batch)
Group Members:
01.Md. Ashaf Uddaula (161-15-7473)
02. Alamin Hossain (161-15-7483)
03. Md. Khasrur Rahman (161-15-7214)
04. Md. Eram Talukder (161-15-7485)
05. Ijaz Ahmed Utsa (161-15-7180)
History of Alternating Current
What is Alternating Current?
What things you need to know for analysing
current in AC circuit?
Graphical Representation of AC Voltage & Current.
Analysis of AC Circuit Containing Resistance Only.
Analysis of AC Circuit Containing Inductor Only.
Analysis of AC Circuit Containing Capacitor Only.
Analysis of AC circuit containing a Resistor & an
Inductor in Series.
Analysis of AC circuit containing a Resistor & a
Capacitor in Series.
Analysis of AC circuit containing a Resistor, an
Inductor & a Capacitor in Series.
Role of Alternating Current in Our life.
What is Alternating Current?
Alternating current electricity is the type of electricity
commonly used in homes and business throughout the
world.
AC electricity is created by an AC electric generator
with determine the frequency.
An AC waveform can be sinusoidal , square or
sawtooth shaped. Some AC waveform are irregular or
complicated.
Ohm's Law.
Basic Concept about Current, Voltage,
Induction, Capacitor, Resistance.
Faraday's Law.
Complex Number.
Mathematical Calculation of Integration,
Differentiation, Trigonometry.
GraphicalRepresentation ofACVoltage &Current
If in a circuit the electric current changes its direction after a
definite interval of time with a maximum and minimum value ,
then this current is called alternating current(I).
Consequently ,if in a circuit the electric voltage changes its
direction after a definite interval of time with a maximum and
minimum value , then this current is called alternating voltage(E).
An AC is periodic function of time.
Alternating Voltage(E) & current(I) in a circuit is associated with a
steady state voltage (E0) and current(I0).
These can be written as-
I=I0sinωt
E=E0sinωt ;where ω is angular velocity & t is time.
Analysis of AC Circuit Containing
Resistance Only
Consider, an AC circuit containing a pure
resistance R with a voltage E applied on the
circuit where E=E0sinωt .
This Voltage has an imaginary part. So, the role
of complex number in there represent the
voltage,
E=E0 𝑒 𝑖ω𝑡
Then, after calculation we get current, I=I0 𝑒 𝑖ω𝑡
Here, I0=E0/R is the peak value of current.
After watching the graphical representation of
this circuit ,we can say that, Current & Voltage
are in phase.
Analysis of AC Circuit Containing
Inductor Only
Consider, an AC circuit containing an
inductor L with a voltage E applied on the
circuit where E=E0sinωt .
This Voltage has an imaginary part. So,
the role of complex number in there
represent the voltage,
E=E0 𝑒 𝑖ω𝑡
Then, after calculation we get current,
I=I0 𝑒 𝑖(ω𝑡−
π
2
)
Here, I0 is the peak value of current.
After watching the graphical
representation of this circuit ,we can say
that, Current lags behind the Voltage by
π/2.
Consider, an AC circuit containing a capacitor C
with a voltage E applied on the circuit where
E=E0sinωt .
This Voltage has an imaginary part. So, the role
of complex number in there represent the
voltage,
E=E0 𝑒 𝑖ω𝑡
Then, after calculation we get current,
I=I0 𝑒 𝑖(ω𝑡+
π
2
)
Here, I0 is the peak value of current.
After watching the graphical representation of
this circuit ,we can say that, Current leads the
voltage by π/2.
Analysisof ACcircuitcontainingaResistor&
anInductorin Series
Consider, an AC circuit containing a resistor R &
an inductor L in series with a voltage E applied on
the circuit where E=E0sinωt .
This Voltage has an imaginary part. So, the role
of complex number in there represent the
voltage,
E=E0 𝑒 𝑖ω𝑡
Then, after calculation we get current,
I=I0 𝑒 𝑖(ω𝑡−𝜽)
Here, 𝜽=tan−1(
ω𝐿
𝑅
) & Absolute value of
Impedance , |Z|= 𝑅2 + (𝜔𝐿)2.
Here, I0 is the peak value of current.
After watching the graphical representation of
this circuit ,we can say that, Current lags behind
the voltage by 𝜽.
Analysisof ACcircuitcontainingaResistor&
aCapacitorinSeries
Consider, an AC circuit containing a resistor R & a
capacitor C in series with a voltage E applied on the
circuit where E=E0sinωt .
This Voltage has an imaginary part. So, the role of
complex number in there represent the voltage,
E=E0 𝑒 𝑖ω𝑡
Then, after calculation we get current,
I=I0 𝑒 𝑖(ω𝑡+𝜽)
Here, 𝜽=tan−1(
1
𝜔𝐶
𝑅
) & Absolute value of Impedance,
|Z|= 𝑅2 + 1/(𝜔𝐶)2
Here, I0 is the peak value of current.
After watching the graphical representation of this
circuit ,we can say that, Current leads the Voltage
the voltage by 𝜽.
Analysisof ACcircuitcontainingaResistor,
anInductor&a CapacitorinSeries
Consider, an AC circuit containing a resistor R, an
inductor L & a capacitor C in series with a voltage E
applied on the circuit where E=E0sinωt .
This Voltage has an imaginary part. So, the role of
complex number in there represent the voltage,
E=E0 𝑒 𝑖ω𝑡
Then, after calculation we get current,
I=I0 𝑒 𝑖(ω𝑡−𝜽)
Here, 𝜽=tan−1
(
ω𝐿−1/ω𝐶
𝑅
) & Absolute value of
Impedance , |Z|= 𝑅2 + (𝜔𝐿 − 1/ω𝐶)2.
Here, I0 is the peak value of current.
After watching the graphical representation of this
circuit ,we can say that, Current lags behind the
voltage by 𝜽.
What is special about AC electricity is that the voltage can be
readily changed, thus making it more suitable for long-distance
transmission than DC electricity. But also, AC can employ
capacitors and inductors in electronic circuitry, allowing for a wide
range of applications
Alternating current (AC) electricity is the type of electricity
commonly used in homes and businesses throughout the world
The major advantage that AC electricity has over DC electricity is
that AC voltages can be readily transformed to higher or lower
voltage levels, while it is difficult to do that with DC voltages
We commonly use AC electricity to power our television, lights
and computers. In AC electricity, the current alternates in
direction. AC electricity was proven to be better for supplying
electricity than DC, primarily because the voltages can be
transformed. AC also allows for other devices to be used, opening
a wide range of applications.
AC-Alternative Current & Circuit Analysis ( Full of Information )

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AC-Alternative Current & Circuit Analysis ( Full of Information )

  • 2. Course Code: PHY123 Course Teacher: Ms. Kishwar-E Hasin Section:P Depertment:CSE(43 Batch) Group Members: 01.Md. Ashaf Uddaula (161-15-7473) 02. Alamin Hossain (161-15-7483) 03. Md. Khasrur Rahman (161-15-7214) 04. Md. Eram Talukder (161-15-7485) 05. Ijaz Ahmed Utsa (161-15-7180)
  • 3. History of Alternating Current What is Alternating Current? What things you need to know for analysing current in AC circuit? Graphical Representation of AC Voltage & Current. Analysis of AC Circuit Containing Resistance Only. Analysis of AC Circuit Containing Inductor Only. Analysis of AC Circuit Containing Capacitor Only.
  • 4. Analysis of AC circuit containing a Resistor & an Inductor in Series. Analysis of AC circuit containing a Resistor & a Capacitor in Series. Analysis of AC circuit containing a Resistor, an Inductor & a Capacitor in Series. Role of Alternating Current in Our life.
  • 5.
  • 6. What is Alternating Current? Alternating current electricity is the type of electricity commonly used in homes and business throughout the world. AC electricity is created by an AC electric generator with determine the frequency. An AC waveform can be sinusoidal , square or sawtooth shaped. Some AC waveform are irregular or complicated.
  • 7. Ohm's Law. Basic Concept about Current, Voltage, Induction, Capacitor, Resistance. Faraday's Law. Complex Number. Mathematical Calculation of Integration, Differentiation, Trigonometry.
  • 8. GraphicalRepresentation ofACVoltage &Current If in a circuit the electric current changes its direction after a definite interval of time with a maximum and minimum value , then this current is called alternating current(I). Consequently ,if in a circuit the electric voltage changes its direction after a definite interval of time with a maximum and minimum value , then this current is called alternating voltage(E). An AC is periodic function of time. Alternating Voltage(E) & current(I) in a circuit is associated with a steady state voltage (E0) and current(I0). These can be written as- I=I0sinωt E=E0sinωt ;where ω is angular velocity & t is time.
  • 9.
  • 10. Analysis of AC Circuit Containing Resistance Only Consider, an AC circuit containing a pure resistance R with a voltage E applied on the circuit where E=E0sinωt . This Voltage has an imaginary part. So, the role of complex number in there represent the voltage, E=E0 𝑒 𝑖ω𝑡 Then, after calculation we get current, I=I0 𝑒 𝑖ω𝑡 Here, I0=E0/R is the peak value of current. After watching the graphical representation of this circuit ,we can say that, Current & Voltage are in phase.
  • 11. Analysis of AC Circuit Containing Inductor Only Consider, an AC circuit containing an inductor L with a voltage E applied on the circuit where E=E0sinωt . This Voltage has an imaginary part. So, the role of complex number in there represent the voltage, E=E0 𝑒 𝑖ω𝑡 Then, after calculation we get current, I=I0 𝑒 𝑖(ω𝑡− π 2 ) Here, I0 is the peak value of current. After watching the graphical representation of this circuit ,we can say that, Current lags behind the Voltage by π/2.
  • 12. Consider, an AC circuit containing a capacitor C with a voltage E applied on the circuit where E=E0sinωt . This Voltage has an imaginary part. So, the role of complex number in there represent the voltage, E=E0 𝑒 𝑖ω𝑡 Then, after calculation we get current, I=I0 𝑒 𝑖(ω𝑡+ π 2 ) Here, I0 is the peak value of current. After watching the graphical representation of this circuit ,we can say that, Current leads the voltage by π/2.
  • 13. Analysisof ACcircuitcontainingaResistor& anInductorin Series Consider, an AC circuit containing a resistor R & an inductor L in series with a voltage E applied on the circuit where E=E0sinωt . This Voltage has an imaginary part. So, the role of complex number in there represent the voltage, E=E0 𝑒 𝑖ω𝑡 Then, after calculation we get current, I=I0 𝑒 𝑖(ω𝑡−𝜽) Here, 𝜽=tan−1( ω𝐿 𝑅 ) & Absolute value of Impedance , |Z|= 𝑅2 + (𝜔𝐿)2. Here, I0 is the peak value of current. After watching the graphical representation of this circuit ,we can say that, Current lags behind the voltage by 𝜽.
  • 14. Analysisof ACcircuitcontainingaResistor& aCapacitorinSeries Consider, an AC circuit containing a resistor R & a capacitor C in series with a voltage E applied on the circuit where E=E0sinωt . This Voltage has an imaginary part. So, the role of complex number in there represent the voltage, E=E0 𝑒 𝑖ω𝑡 Then, after calculation we get current, I=I0 𝑒 𝑖(ω𝑡+𝜽) Here, 𝜽=tan−1( 1 𝜔𝐶 𝑅 ) & Absolute value of Impedance, |Z|= 𝑅2 + 1/(𝜔𝐶)2 Here, I0 is the peak value of current. After watching the graphical representation of this circuit ,we can say that, Current leads the Voltage the voltage by 𝜽.
  • 15. Analysisof ACcircuitcontainingaResistor, anInductor&a CapacitorinSeries Consider, an AC circuit containing a resistor R, an inductor L & a capacitor C in series with a voltage E applied on the circuit where E=E0sinωt . This Voltage has an imaginary part. So, the role of complex number in there represent the voltage, E=E0 𝑒 𝑖ω𝑡 Then, after calculation we get current, I=I0 𝑒 𝑖(ω𝑡−𝜽) Here, 𝜽=tan−1 ( ω𝐿−1/ω𝐶 𝑅 ) & Absolute value of Impedance , |Z|= 𝑅2 + (𝜔𝐿 − 1/ω𝐶)2. Here, I0 is the peak value of current. After watching the graphical representation of this circuit ,we can say that, Current lags behind the voltage by 𝜽.
  • 16. What is special about AC electricity is that the voltage can be readily changed, thus making it more suitable for long-distance transmission than DC electricity. But also, AC can employ capacitors and inductors in electronic circuitry, allowing for a wide range of applications Alternating current (AC) electricity is the type of electricity commonly used in homes and businesses throughout the world The major advantage that AC electricity has over DC electricity is that AC voltages can be readily transformed to higher or lower voltage levels, while it is difficult to do that with DC voltages We commonly use AC electricity to power our television, lights and computers. In AC electricity, the current alternates in direction. AC electricity was proven to be better for supplying electricity than DC, primarily because the voltages can be transformed. AC also allows for other devices to be used, opening a wide range of applications.