WELCOME TO ELECTRICAL CIRCUITS METHODS OF ANALYSIS CLASS

WELCOME TO ELECTRICAL CIRCUITS ( METHODS OF ANALYSIS ) CLASS IN “MESH ANALYSIS”. PROTTOY P. R. S

Course Title: Electrical Circuit SUBJECT TITLE : METHODS OF ANALYSIS CLASS TOPIC TITLE : MESH ANALYSIS

MESH ANALYSIS : A MESH IS A LOOP WHICH DOES NOT CONTAIN ANY OTHER LOOPS WITHIN IT.

“ “THERE IS NOTHING TO EXPLAIN IN ENGINEERING BUT , THERE ARE MANY THINGS TO KNOW.

STEPS TO DETERMINE MESH CURRENTS: 1. Assign mesh currents to the n meshes. 2. Apply KVL to each of the n meshes. Use Ohm’s law to express the voltages in terms of the mesh currents. 3. Solve the resulting n

CIRCUIT EXERCISE : 01 In the circuit of Fig : 01; solve for i 1, i 2, and i 3. FIGURE : 01

CIRCUIT SOLVE : 01 ANS

How do write a mesh current equation ? ● Identify the meshes. “ ● Assign a current variable to each mesh, using a consistent direction(clockwise or counterclockwise). ● Write Kirchhoff’s Voltage Law around each mesh. ● Solve the resulting system of equations for all loop currents. ● Solve for any element currents and voltages you want using Ohm’s Law.

CIRCUIT EXERCISE : 02 Mesh analysis with current sources easy way equations solving. CIRCUIT SOLVE : 02 Consider the circuit on Figure 02 which contains a current source. The application of the mesh analysis for this circuit does not present any difficulty once we realize that the mesh current of the mesh containing the current source is equal to the current of the current source: i. e. I 2 = Is. “ Figure : 02 Mesh analysis with a current source. In defining the direction of the mesh current we have used the direction of the current Is. We also note that the branch current : i 3 = Is. Applying KVL around mesh 1 we obtain : I 1 R 1 + + (I 1 Is)R 2 =Vs (4. 41) The above equation simply indicates that the presence of the current source in one of the meshes reduces the number of equations in the problem.

WHAT IS MESH ANALYSIS USED FOR? Mesh analysis (or the mesh current method) is a method that is used to solve planar circuits for the currents (and indirectly the voltages) at any place in the electrical circuit. Planar circuits are circuits that can be drawn on a plane surface with no wires crossing each other.

DIFFERENCE BETWEEN MESH AND LOOP? Loop and mesh both are part of an electrical circuit. The loop is found in a closed circuit with unique nodes that are no nodes are repeated for than one time. A mesh is a loop that has no other circuit paths inside it.

CIRCUIT EXERCISE : 03 03 CIRCUIT SOLVE : 03 Figure : 03

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WHAT IS SUPER MESH? A supermesh occurs when a current source is contained between two essential meshes. This leads to one equation that incorporates two mesh currents. Once this equation is formed, an equation is needed that relates the two mesh currents with the current source.

HOW DO I KNOW IF I HAVE SUPER MESH ? 1. Evaluate if the circuit is a planer circuit. 1. Redraw the circuit if necessary and count the number of meshes in the circuit. 1. Label each of mesh currents in the circuit. 1. Form a supermesh if the circuit contains current sources by two meshes.

CIRCUIT EXERCISE : 04 Using mesh analysis, determine the currents for the network of Fig : 04 FIGURE : 04

CIRCUIT SOLVE: 04 The mesh currents are defined in Fig : 4. 1 The current sources are removed, and the single supermesh path is defined in Fig : 4. 2 FIgure : 4. 1

Figure : 4. 2 Introducing the relationship between the mesh currents and the current sources: I 1 = 6 A & I 3 = 8 A Results in the following solutions : 2 I 1 – 16 I 2 + 8 I 3 = 0 2(6 A) – 16 I 2 + 8(8 A) = 0 And I 2 = 76 A = 4. 75 A 16 Then ☞ I 2Ω↓ = I 1 – I 2 = 6 A – 4. 75 A = 1. 25 A And ☞ I 8Ω↑ = I 3 – I 2 = 8 A – 4. 75 A = 3. 25 A Again, note that must stick with original definitions of the various mesh currents when applying Kirchhoff’s voltage law around the resulting supermesh paths.

Can we perform mesh analysis using ac supply? Similar to Nodal Analysis, Mesh Analysis for both DC and AC circuits are similar. The only difference is that in AC, we are dealing with impedances instead of just resistors. The aim of this tutorial is to make Mesh 19

How do find the branch current in mesh analysis? To find the Branch current method for analysis : Choose a node and assume directions of currents. Write a KCL equation relating currents at the node. Label Resistor Voltage drop polarities based on assumed

What are the advantages of using mesh current analysis in solving electronics circuits? The primary advantage of Mesh Current analysis is that it generally allows for the solution of a large network with fewer unknown values and fewer simultaneous equations MESH ANALYSIS HAVE ALSO MANY ADVANTAGE IN CIRCUIT SOLVING. Our example problem took three equations to solve the Branch Current method and only two equations using the Mesh Current method.

What are the disadvantage of mesh analysis? Disadvantages of Mesh Analysis : We can use this method only when the circuit is planar, otherwise the method is not useful. If the network is large then the number of meshes will be large, hence, the total number of equations will be more so it becoes inconvenient to use in that case.

THA THANK S PROTTOY THANKS THANKS