ELECTRIC CIRCUITS ECSE 2010
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This 1 page Class Notes was uploaded by Immanuel Brakus PhD on Monday October 19, 2015. The Class Notes belongs to ECSE 2010 at Rensselaer Polytechnic Institute taught by Jeffrey Braunstein in Fall. Since its upload, it has received 92 views. For similar materials see /class/224769/ecse-2010-rensselaer-polytechnic-institute in ELECTRICAL AND COMPUTER ENGINEERING at Rensselaer Polytechnic Institute.
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Date Created: 10/19/15
J SourcesSolvincl Procedure Solving Procedure 1 Pick one of the previous solving methodsr KCLIKVL L Identify sources mmh39mmquot quot95quot AH39V quotquot39 quot339Y5quot 2 choose one source current or voltage L Try to pick one that m mizes the number of L s unknow ns 2 Construct the linear system of equations as if all sources were independent sources giving nequations 1 For each dependent sourc obtain an equation relating the source value to your node or current part 2 mdependent sources 1 You now have nmequat39ons 2 Von can solve tile whole sy em using a matrix nlver nr suhsrirut nllr m dependent source equation re use the number of ea 3 o s Mesh Anal Solv ng Procedure Identify all loops Locate all current sources prossble simplify the roblem by redrawing the u P circuit With current sources on the outside Label the currents in each loop 39 39 it he 39oulsiue39 Assign a relative current expression if the current sdurce is shared by two loo 5 Write a KVL expression for each loop I if current source is shared by two loops umbine than to mm a larger loo it Use Dhm39s Law to write the KVL in terms at currene a Set up the linear system in Solve the matrix ThevenlnlNorton Sources Solving Procedure c Thevenin 7 Remove the l x Fund are vpltage v w hetween the twp nudes where the lead was connected uslng any method L Find the current 1 In thrpuqh thatshnrt drcul t wirev sin any method 2 Note the short circuit may ombine nodes Recognize that you can do KCL at a nude tp nd current through an individual wire connecting components Resistance Remove the load r AWIV a test voltage source Vt at the nodes where the load was attached shart circuit all other independent voltage source and apen circuit all other independent current sources Find the current thraugh thct source 1 n 39 VIM lees nly two of these are needed since vm re uxquot rt circuit all other voltage 5 times 39 0 rent sou new circuit determine the parameter of r example Voltage across some resistor ource results from each circuit obtaining the parameter of interest for the original circuit Node Analxs s olv ng Procedure 1 1 a s 5 o 7 Idenlify all nodes Choose a reference node ground Label the unknown no es Locate all voltage sources L Determine either absolute or relative voltage based on the voltage sources Write a KCL equation for each node Us Dhm39s Law to rewrite the currents as voltage e lance 1 If a voltage source is on one of the current paths iollow it to the next node to get an expression for current Set up the linear system 2 Voltage thulcr Rule
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