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Generally it has been noticed that differential equation is solved typically. The Laplace transformation makes it easy to solve. The Laplace transformation is applied in different areas of science, engineering and technology. The Laplace transformati
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LCA Lab Superposition Theorem A Presentation by Bilal Sarwar (B-17707)
Linear Circuits
A linear circuit is one whose output is directly proportional to its input.
Linear circuits obey properties of homogeneity
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Superposition Principle Because the circuit is linear we can find the response of the circuit to each source acting alone, and then add them up to find the response of the circuit to all sources acting together. This is known as the superposition principle.
The superposition principle states that the voltage across (or the current through) an element in a linear circuit is the algebraic sum of the voltages across (or currents through) that element due to each independent source acting alone.
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Turning sources off Current source: a
i is
We replace it by a current source where
is 0
is
An open-circuit
b
Voltage source:
+ DC
vs
v vs
We replace it by a voltage source where
i
vs 0
-
An short-circuit 4
Removing the effect of ideal sources
Voltage source is replaced by a S/C
Removing the effect of practical sources
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Current source is replaced by a O/C
Steps in Applying the Superposition Principle 1.
2. 3.
Turn off all independent sources except one. Find the output (voltage or current) due to the active source. Repeat step 1 for each of the other independent sources. Find the total output by adding algebraically all of the results found in steps 1 & 2 above.
In some cases, but certainly not all, superposition can simplify the analysis. 6