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1 of 9
TO,
RAVINDRA MEENA
HOD Ist YEAR
PRESENTED BY:
Abdulqadir (k12430)
Ajay singh dhakad
Aditi dadhich (k12582)
IInd Sem , 1st Year, Section A
A-1 Batch
Introduction to superposition theorem
Applications of superposition theorem
Working of superposition theorem
Requirements
Circuit Diagram
INTRODUCTION
 The superposition theorem for electrical circuits states
that for a linear system the response (voltage or current)
in any branch of a bilateral linear circuit having more
than one independent source equals the algebraic sum of
the responses caused by each independent source acting
alone, where all the other independent sources are
replaced by their internal impedances.
WORKING
 To ascertain the contribution of each individual source, all of
the other sources first must be "turned off" (set to zero) by:
 Replacing all other independent voltage sources with a short
circuit (thereby eliminating difference of potential i.e. V=0;
internal impedance of ideal voltage source is zero (short
circuit).
 Replacing all other independent current sources with an open
circuit (thereby eliminating current i.e. I=0; internal
impedance of ideal current source is infinite (open circuit)).
 This procedure is followed for each source in turn, then the
resultant responses are added to determine the true operation
of the circuit. The resultant circuit operation is the
superposition of the various voltage and current sources.
APPLICATION
 The superposition theorem is very important in circuit
analysis. It is used in converting any circuit into
its Norton equivalent or Thevenin equivalent.
 The theorem is applicable to linear networks (time
varying or time invariant) consisting of independent
sources, linear dependent sources, linear passive
elements (resistors, inductors, capacitors) and
linear transformers.
REQUIREMENTS
 CURRENT SOURCES
 VOLTAGE SOURCES
 RESISTORS
CIRCUIT DIAGRAM
RESULT
 In the first circuit we calculated current is 0.84mA across 10k
resistor.
 In the second circuit after replacing 5v voltage source with short
circuit we obtain +1.20mA current across 10k resistor.
 In the third circuit after replacing 12v voltage source with short
circuit we obtain -0.36mA current across 10k resistor.
 According to the superposition theorem current across 10k
resistor in first circuit is equal to the algebraic sum of current
across 10k resistor in 2nd circuit and 3rd circuit.
 Proof:
current in first circuit = current in 2nd + current in 3rd
+0.84mA = +1.20mA + (-0.36mA)
+0.84mA = +1.20mA -0.36mA
+0.84mA = +0.84mA
THANK YOU

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superposition theorem

  • 1. TO, RAVINDRA MEENA HOD Ist YEAR PRESENTED BY: Abdulqadir (k12430) Ajay singh dhakad Aditi dadhich (k12582) IInd Sem , 1st Year, Section A A-1 Batch
  • 2. Introduction to superposition theorem Applications of superposition theorem Working of superposition theorem Requirements Circuit Diagram
  • 3. INTRODUCTION  The superposition theorem for electrical circuits states that for a linear system the response (voltage or current) in any branch of a bilateral linear circuit having more than one independent source equals the algebraic sum of the responses caused by each independent source acting alone, where all the other independent sources are replaced by their internal impedances.
  • 4. WORKING  To ascertain the contribution of each individual source, all of the other sources first must be "turned off" (set to zero) by:  Replacing all other independent voltage sources with a short circuit (thereby eliminating difference of potential i.e. V=0; internal impedance of ideal voltage source is zero (short circuit).  Replacing all other independent current sources with an open circuit (thereby eliminating current i.e. I=0; internal impedance of ideal current source is infinite (open circuit)).  This procedure is followed for each source in turn, then the resultant responses are added to determine the true operation of the circuit. The resultant circuit operation is the superposition of the various voltage and current sources.
  • 5. APPLICATION  The superposition theorem is very important in circuit analysis. It is used in converting any circuit into its Norton equivalent or Thevenin equivalent.  The theorem is applicable to linear networks (time varying or time invariant) consisting of independent sources, linear dependent sources, linear passive elements (resistors, inductors, capacitors) and linear transformers.
  • 6. REQUIREMENTS  CURRENT SOURCES  VOLTAGE SOURCES  RESISTORS
  • 8. RESULT  In the first circuit we calculated current is 0.84mA across 10k resistor.  In the second circuit after replacing 5v voltage source with short circuit we obtain +1.20mA current across 10k resistor.  In the third circuit after replacing 12v voltage source with short circuit we obtain -0.36mA current across 10k resistor.  According to the superposition theorem current across 10k resistor in first circuit is equal to the algebraic sum of current across 10k resistor in 2nd circuit and 3rd circuit.  Proof: current in first circuit = current in 2nd + current in 3rd +0.84mA = +1.20mA + (-0.36mA) +0.84mA = +1.20mA -0.36mA +0.84mA = +0.84mA