The final result To turn off a voltage source, you replace it with a short circuit.Circuit A contains two voltage sources, vs1 and vs2, and you want to find the output voltage vo across the 10-kΩ resistor. (5) involves a voltage-controlled dependent current source. 2I_{y1}=I_{x1} . So now we'll analyze the circuit below with 2 power sources (voltage sources). Definition: Superposition Theorem states that voltage or current through an element of a linear, bilateral network having multiple sources is equivalent to the summation of generated voltage or current across that element, independently by each source present in the network.While at the time of considering a single source all other sources are replaced by their respective internal impedances. E12={10, 12, 15, 18, 22, 27, 33, 39, 47, 56, 68, 82} Source transformation also applies to dependent sources, provided we carefully handle the dependent variable. The resulting circuit is shown below. (4c) to get. Thus, you can buy 10% resistors with a nominal resistance of 330Ω or 33kΩ, but not 350Ω. google_ad_width = 468; //--> I load = 6.623 mA Notes: I_y=I_{y1}+I_{y2}=-6 A We have tres values: $latex I_{1}, I_{2}, I_{3}$. google_ad_client = "ca-pub-5562743950047265"; All rights reserved. google_ad_slot = "1070104845"; Superposition method – Circuit with two sources, Thévenin’s Theorem – Circuit with Two Independent Sources, AC Circuit Analysis – Sources with Different Frequencies, http://circuits.solved-problems.com/files/2011/01/circuits2.jpg, Solving a Simple Circuit of Three Elements, Superposition method - Circuit with two sources. Given that they are only guaranteed to have resistances within 10% of the nominal value, what is the largest and smallest value that Vout may have? Solution I. You could find me on, Complete Source Transformation Theorem Analysis. (1) are equivalent – provided they have the same voltage-current relation at terminals a-b. (1) that source transformation is not possible when, Alternatively, since 8 Ω and 2 Ω resistors in Figure. (1) or (2) that the arrow of the current source is directed toward the positive terminal of the voltage source. In this system we have I=0.7A, Rp=0.857142857143Ω, and Rs=1.1Ω. Applying KVL around the inner loop, $latex I_{3} = 2I_{y}$ Our website uses cookies to improve your experience. III. Determine I_x , I_y and V_z using the superposition method. The resistances of commercially-available discrete resistors are restricted to particular sets. Determine and using the superposition method. /* circuits top 468*15 */ The voltage source should be replaced by short circuit. We need to turn off the current source by replacing it with an open circuit. Determine , and using the superposition method. An additional requirement is that the Thevenin resistance as seen from the output terminals is between 10kΩ and 30kΩ. Notify me of follow-up comments by email. I am passionate about learning and teaching. This is the same answer obtained by using superposition of the controlled source. Contribution of the voltage source: To find the contribution of the voltage source, other three sources should be turned off. It is easy to show that they are indeed equivalent. /* circuits bottom 468*15 */ Example. View more posts. /* circuits middle 468*15 */ Save my name, email, and website in this browser for the next time I comment.