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Introduction to Circuit Analysis
and Review of Basic Concepts
Circuit Analysis II – EE 201
Contents
• OBE Assessment and CLO-PLO Mapping
• Weekly Distribution
• Book and Notes
• Electric Circuits and its components
• The Ohm’s Law
• Real, Reactive and Apparent Power
• Power Factor
• Voltage Division in Series Circuit
• Current Division in Parallel Circuit
• Branches, Nodes and Loops
• Kirchhoff’s Voltage Law
• Kirchhoff’s Current Law
Georg Ohm
OBE Assessment and CLO-PLO Mapping
Weekly distribution and course contents
Book and Notes
Electrical Circuits and Its components
• Voltage is an electromotive force or potential difference expressed in
volts.
• Current is the rate at which electrons flow past a point in a complete
electrical circuit
• An electrical circuit is a path in which electrons from a voltage or
current source flow.
• Conventional Current flows from positive terminal of the battery to
the negative terminal
• Neutral point has zero voltage but current is does not sink here
• Ground terminal has zero value for both voltage and current.
Electrical Circuits and Its components
• Resistance is the opposition to the flow of current inside an electric
circuit
• Inductance is the measure of energy storage capability of a coil in the
form of magnetic field. It utilizes current.
• Capacitance is the measure of energy storage capacity of a capacitor
in form of electric field.
• Impedance is the net effect, produced by Resistance, Capacitance and
Inductance of a circuit.
• Z=R+Xc+XL
Electrical Circuits and Its components
• Open circuit has 0A current and voltage appears across its open
terminal same as the source(s) provided without drop
• Short Circuit has 0Ω Resistance and the current is undefined
• Capacitor makes a DC current based circuit open
• Inductor acts as short circuit to a DC current
• Sources are all power sources, there is no physical voltage or current
source. It is only in theoretical situations.
Electrical Circuits and Its components
• Total power has both active and reactive components
• Reactive powers are stored powers and they are released with the
source tends to produce power in opposite direction or turns off.
• Reactive power is also known as quadrature power because of its 90o
out of phase nature to the resistive quantities
Ohm’s Law
• V(volts)=I(Amperes)R(Ohms): V=IR
• v=iZ
Real, Reactive and Apparent Power
• Real Power (Power[P]) is measured for Resistors,
the real part of Z.
• Unit is Watt
• Apparent power(Total[S]) is measured for Complex
Impedance Z
• Unit is Volt-Ampere(VA)
• Reactive(Quadrature[Q]) Power is measured for
Imaginary part of Z
• Unit is Volt-Ampere Reactive (Var)
• A system is examined for Total power S, not just Q
or P
Power Factor
• Ratio of Real Power to Total Power
(cosθ=P/S)
• Determines the amount of energy
available for producing heat
• Power factor is zero for Capacitive and
Inductive Loads
• It has no unit
Series Resistance
• Elements in series each see the same current
• Resistors in series add
directly:
• Rac = Rab + Rbc
• Conductances in series add as the inverse of the
sum of their inverses
Voltage Division
VR = Vs*Same/Sum
Parallel Resistance
• Elements in parallel are each impressed with the same voltage
• Resistors in parallel add as the inverse of the sum of their inverses
• Conductance in parallel adds directly
Current Division
• IR = IS*Opp/Sum
KVL and KCL
• Node – any point where 2 or more circuit elements are connected together
• Wires usually have negligible resistance
• Each node has one voltage (w.r.t. ground)
• Branch – a circuit element between two nodes
• Loop – a collection of branches that form a closed path returning to the
same node without going through any other nodes or branches twice
• KCL is used for finding unknown voltages first
• KVL is used for finding unknown currents first
Branches, Nodes and Loops
• How many nodes, branches & loops?
Solution
Kirchhoff’s Voltage Law
• Total voltage across a single loop is always summed as Zero.
• Vt = 0 , ΣV = 0
https://www.electronics-tutorials.ws/dccircuits/kirchhoffs-voltage-law.html
Verification of KVL
Applying KVL
Kirchhoff’s Current Law
• Current Sum at any Node/Junction, if we sum up all outgoing and
entering currents at that branch, will be 0 Ampere.
• ΣI = 0
• KCL uses an additional neutral declaration while solving a circuit for
making equations manageable
https://www.electronics-tutorials.ws/dccircuits/kirchhoffs-current-law.html
Example
Thanks

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introduction to circuit analysis and review of basic

  • 1. Introduction to Circuit Analysis and Review of Basic Concepts Circuit Analysis II – EE 201
  • 2. Contents • OBE Assessment and CLO-PLO Mapping • Weekly Distribution • Book and Notes • Electric Circuits and its components • The Ohm’s Law • Real, Reactive and Apparent Power • Power Factor • Voltage Division in Series Circuit • Current Division in Parallel Circuit • Branches, Nodes and Loops • Kirchhoff’s Voltage Law • Kirchhoff’s Current Law Georg Ohm
  • 3. OBE Assessment and CLO-PLO Mapping
  • 4. Weekly distribution and course contents
  • 6. Electrical Circuits and Its components • Voltage is an electromotive force or potential difference expressed in volts. • Current is the rate at which electrons flow past a point in a complete electrical circuit • An electrical circuit is a path in which electrons from a voltage or current source flow. • Conventional Current flows from positive terminal of the battery to the negative terminal • Neutral point has zero voltage but current is does not sink here • Ground terminal has zero value for both voltage and current.
  • 7. Electrical Circuits and Its components • Resistance is the opposition to the flow of current inside an electric circuit • Inductance is the measure of energy storage capability of a coil in the form of magnetic field. It utilizes current. • Capacitance is the measure of energy storage capacity of a capacitor in form of electric field. • Impedance is the net effect, produced by Resistance, Capacitance and Inductance of a circuit. • Z=R+Xc+XL
  • 8. Electrical Circuits and Its components • Open circuit has 0A current and voltage appears across its open terminal same as the source(s) provided without drop • Short Circuit has 0Ω Resistance and the current is undefined • Capacitor makes a DC current based circuit open • Inductor acts as short circuit to a DC current • Sources are all power sources, there is no physical voltage or current source. It is only in theoretical situations.
  • 9. Electrical Circuits and Its components • Total power has both active and reactive components • Reactive powers are stored powers and they are released with the source tends to produce power in opposite direction or turns off. • Reactive power is also known as quadrature power because of its 90o out of phase nature to the resistive quantities
  • 11. Real, Reactive and Apparent Power • Real Power (Power[P]) is measured for Resistors, the real part of Z. • Unit is Watt • Apparent power(Total[S]) is measured for Complex Impedance Z • Unit is Volt-Ampere(VA) • Reactive(Quadrature[Q]) Power is measured for Imaginary part of Z • Unit is Volt-Ampere Reactive (Var) • A system is examined for Total power S, not just Q or P
  • 12. Power Factor • Ratio of Real Power to Total Power (cosθ=P/S) • Determines the amount of energy available for producing heat • Power factor is zero for Capacitive and Inductive Loads • It has no unit
  • 13. Series Resistance • Elements in series each see the same current • Resistors in series add directly: • Rac = Rab + Rbc • Conductances in series add as the inverse of the sum of their inverses
  • 14. Voltage Division VR = Vs*Same/Sum
  • 15. Parallel Resistance • Elements in parallel are each impressed with the same voltage • Resistors in parallel add as the inverse of the sum of their inverses • Conductance in parallel adds directly
  • 16. Current Division • IR = IS*Opp/Sum
  • 17. KVL and KCL • Node – any point where 2 or more circuit elements are connected together • Wires usually have negligible resistance • Each node has one voltage (w.r.t. ground) • Branch – a circuit element between two nodes • Loop – a collection of branches that form a closed path returning to the same node without going through any other nodes or branches twice • KCL is used for finding unknown voltages first • KVL is used for finding unknown currents first
  • 18. Branches, Nodes and Loops • How many nodes, branches & loops?
  • 20. Kirchhoff’s Voltage Law • Total voltage across a single loop is always summed as Zero. • Vt = 0 , ΣV = 0 https://www.electronics-tutorials.ws/dccircuits/kirchhoffs-voltage-law.html
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  • 26. Kirchhoff’s Current Law • Current Sum at any Node/Junction, if we sum up all outgoing and entering currents at that branch, will be 0 Ampere. • ΣI = 0 • KCL uses an additional neutral declaration while solving a circuit for making equations manageable https://www.electronics-tutorials.ws/dccircuits/kirchhoffs-current-law.html
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