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Network Theorems I
ENTC 210: Circuit Analysis I
Rohit Singhal
Lecturer
Texas A&M University
The Theorems
Superposition Theorem
 Thevenin’s Theorem
 Norton’s Theorem

Superposition Theorem
When there are multiple sources!
 The current through, or voltage across, an
element in a linear network is equal to the
algebraic sum of the currents or voltages
produced independently by each source.

Superposition Theorem
DC
Superposition Theorem
Superposition Theorem
DC
Superposition Theorem
DC
Superposition Theorem

Number of Networks Analyzed = Number
of independent Sources
Thevenin’s Theorem

Any two terminal, linear dc network can be
replaced by an equivalent circuit
consisting of a voltage source and a series
resistor.
Thevenin’s Theorem
DC
Thevenin’s Theorem

Steps
 First
remove the portion of the network,
whose equivalent has to be found
 Mark the terminals of the remaining 2 terminal
network
Thevenin’s Theorem

Steps to calculate Rth
 Calculate
Rth by setting all sources to zero,
and using reduction techniques.

Steps to calculate Eth
 Return
all sources to their original position
and find the open terminal potential.