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Message: <blockquote data-quote="Little DJ" data-source="post: 10864713" data-attributes="member: 320663">Superposition TheoremThe superposition theorem is a method which allows  to determine the current through or the voltage across any resistor or branch in a network. The advantage of using this approach instead of mesh analysis or nodal analysis is that it is not necessary to use several equations to get required voltage or current. The theorem states the following:                             The total current through or voltage across a resistor or branch may be determined by summing the effects due to each independent source. In order to apply the superposition theorem it is necessary to remove all sources other than the one being examined. In order to 'zero' a voltage source,  replace it with a short circuit, since the voltage across a short circuit is zero volts. A current source is zeroed by replacing it with an open circuit, since the current through an open circuit is zero amps. If the purpose to determine the power dissipated by any resistor, first it must find either the voltage across the resistor or the current through the resistor:<img src="http://1.bp.blogspot.com/-ut7KcF04imY/TlZD1NMV9NI/AAAAAAAAAGg/6n0GPCsLCHU/s1600/Superposition+Thorem.JPG" alt="" class="fr-fic fr-dii fr-draggable " style="" />Note: The superposition theorem does not apply to power, since power is not a linear quantity, but rather is found as the square of either current or voltage.Example:<img src="http://1.bp.blogspot.com/-tHDErQHKdbM/TlZEkSLNIxI/AAAAAAAAAGk/9q8_lH24HDk/s1600/Superposition+Thorem+01.JPG" alt="" class="fr-fic fr-dii fr-draggable " style="" />Lets find the current through the load resistor RL,First determine the current through RL due to the voltage source by removing the current source and replacing in with an open circuit (zero amps)<img src="http://3.bp.blogspot.com/-XppZ6uwAaYY/TlZFMNgK06I/AAAAAAAAAGo/Tn2AkedeYVA/s320/Superposition+Thorem+02.JPG" alt="" class="fr-fic fr-dii fr-draggable " style="" />The resulting current through RL is determined from Ohm's law asIL= 20V/(24+16)= 0.5ANext, we determine the current through RL due to the current source by removing the voltage source and replacing it with a short circuit (zero volts)<img src="http://2.bp.blogspot.com/-JdbTlsEtNfA/TlZGMgAuk0I/AAAAAAAAAGs/IDPHh_BAJvI/s320/Superposition+Thorem+03.JPG" alt="" class="fr-fic fr-dii fr-draggable " style="" />The resulting current through RL is determined from current divider rule:IL=  24/(16+24) x 2A = -1.2AThe resultant current through RL is found by applying the superposition theorem:IL = 0.5A- 1.2A = -0.7AThe negative sign indicates that the current through RL is opposite to the assumed reference direction. Consequently, the current through RL will, in fact, be upward with a magnitude of 0.7 A.For More Info: <a href="http://www.electronicworkspace.com/2011/08/superposition-theorem.html" target="_blank">Click Here</a></blockquote>

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