A
theorem is a result that can be proven to be true from a set of axioms. The
term theorem is used especially in mathematics where the axioms are those of
mathematical logic.
DIFFERENCE
BETWEEN AXIOM AND PROVERB
Axiom
is a statement or proposition which is regarded as being established, accepted,
or self-evidently true.
Proverb
is a short, well-known pithy saying, stating a general truth or piece of
advice.
SUPERPOSITION
THEOREM
In
a circuit having more than one voltage or current source, the total voltage or
total current in any branch is the algebraic sum of voltages or currents in
that branch produced by each source acting separately.
[OR]
When
a number of voltage or current sources are acting in a linear network
simultaneously, the resultant voltage or current in any branch of the circuit
is the algebraic sum of voltages or currents flowing through it taking one
source at a time while deactivating the other sources.
The
voltage source is replaced by its internal resistance while the current source
is replaced by open circuit. If a source is not ideal, it is replaced by its
resistance.
LIMITATIONS
Superposition
principle is applicable only when the source and load have a linear
relationship.
Voltage
and current have a linear relationship (provided the resistances are linear)
and can be found by using this theorem.
“Voltage
and power” and “current and power” are not linearly related. Hence this theorem
cannot be used to find power.
APPLICATIONS
This
theorem is applicable to many systems in electric fields, fluid mechanics,
mechanical engineering, electrical circuit analysis etc.
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