INTRODUCTION:
Any complicated network i.e. several sources, multiple resistors are present if the
single element response is desired then use the network theorems. Network theorems are also can
be termed as network reduction techniques. Each and every theorem
got its importance of
solving network. Let us see some important theorems with DC and AC excitation with detailed
procedures.
Thevenin’s Theorem and Norton’s theorem (Introduction) :
Thevenin’s Theorem and Norton’s theorem are two important theorems in solving
Network problems having many active and passive elements. Using these theorems the networks
can be reduced to simple equivalent circuits with one active source and one element. In circuit
analysis many a times the current through a branch is required to be found when it’s value is
changed with all other element values remaining same. In such cases finding out every time the
branch current using the conventional mesh and node analysis methods
is quite awkward and
time consuming. But with the simple equivalent circuits (with
one active source and one
element) obtained using these two theorems the calculations become very simple. Thevenin’s
and Norton’s theorems are dual theorems.
Thevenin’s Theorem
Statement :
Any linear, bilateral two terminal network
consisting of sources and
resistors(Impedance),can be replaced by an equivalent circuit consisting
of a voltage source in
series with a resistance (Impedance).The
equivalent voltage source
V
Th
is
the open circuit
voltage looking into the terminals(with concerned branch element removed) and the equivalent
resistance
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