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Mesh Analysis Exercises: Calculate Circuit Currents and Potential Drops

This document covers a series of mesh analysis exercises designed to calculate mesh currents and specific electrical quantities in various circuits. Each circuit requires determining the current through different resistances and calculating potential drops between designated points (A to B, and others). Included are solutions for several configurations, verifying the accuracy of current flow in resistances and the potential differences across components. Ideal for students and professionals seeking to strengthen their understanding of mesh analysis in electrical engineering.

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Mesh Analysis Exercises: Calculate Circuit Currents and Potential Drops

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  1. By using the mesh analysis method, calculate the mesh currents and the asked quantities. Circuit 1 C1.1. Current in the 10 V source? C1.2. Current in the 3K resistance? C1.3. Current in each of the 2K resistances connected in paralell? C1.4. Potential drop from point A to point B? MESH ANALYSIS. EXERCISES Circuit 2 C2.1. Current in the 3K resistance? C2.2. Current in the 2K resistance? C2.3. Current in the 8K resistance? C2.4. Potential drop from point A to point B? Circuit 3 C3.1. Current in the 1K resistance (the one in the middle)? C3.2. Current in the 20 V source? C3.3. Current in the 1K resistance (the one on the right)? C3.4. Potential drop from point A to point B?

  2. By using the mesh analysis method, calculate the mesh currents and the asked quantities. Circuit 4 C4.1. Current in the 7K resistance? C4.2. Current in the 5 V source? C4.3. Current in the 2K resistance? C4.4. Potential drop from point A to point B? MESH ANALYSIS. EXERCISES Circuit 5 C5.1. Current in the 9K resistance? C5.2. Current in the 1K resistance? C5.3. Current in the 5 V source? C5.4. Potential drop from point A to point B?

  3. SOLUTIONS Circuit 1 C1.1. Current in the 10 V source? C1.2. Current in the 3K resistance? C1.3. Current in each of the 2K resistances connected in paralell? C1.4. Potential drop from point A to point B? Mesh currents MESH ANALYSIS. EXERCISES Equation of the circuit C1.1. Current in the 10 V source? C1.2. Current in the 3K resistance? C1.3. Current in each of the 1K resistances (current divider) connected in paralell? C1.4. Potential drop from point A to point B?

  4. SOLUTIONS Circuit 2 C2.1. Current in the 3K resistance? C2.2. Current in the 2K resistance? C2.3. Current in the 8K resistance? C2.4. Potential drop from point A to point B? Mesh currents MESH ANALYSIS. EXERCISES Equation of the circuit C2.1. Current in the 3K resistance? C2.2. Current in the 2K resistance? (Same direction as i2) C2.3. Current in the 8K resistance? C2.4. Potential drop from point A to point B?

  5. SOLUTIONS Circuit 3 C3.1. Current in the 1K resistance (the one in the middle) ? C3.2. Current in the 20 V source? C3.3. Current in the 1K resistance (the one on the right) ? C3.4. Potential drop from point A to point B? Mesh currents MESH ANALYSIS. EXERCISES Equation of the circuit The same direction as i2, opposite direction to i1. C3.1. Current in the 1K resistance (the one in the middle)? This minus sign means that the direction is C3.2. Current in the 20 V source? C3.3. Current in the 1K resistance (the one on the right)? C3.4. Potential drop from point A to point B?

  6. SOLUTIONS Circuit 4 C4.1. Current in the 7K resistance? C4.2. Current in the 5 V source? C4.3. Current in the 2K resistance? C4.4. Potential drop from point A to point B? Mesh currents MESH ANALYSIS. EXERCISES Equation of the circuit The same direction as i2, opposite direction to i1. C4.1. Current in the 7K resistance? The same direction as i2, opposite direction to i3. C4.2. Current in the 5 V source? C4.3. Current in the 2K resistance? C4.4. Potential drop from point A to point B?

  7. SOLUTIONS Circuit 5 C5.1. Current in the 9K resistance? C5.2. Current in the 1K resistance? C5.3. Current in the 5 V source? C5.4. Potential drop from point A to point B? Mesh currents MESH ANALYSIS. EXERCISES Equation of the circuit C5.1. Current in the 9K resistance? C5.2. Current in the 1K resistance? The same direction as i2, opposite direction to i3. C5.3. Current in the 5 V source? C5.4. Potential drop from point A to point B?

  8. For you to solve Circuit 6 C6.1. Potential drop from point A to point B? C6.2. Potential drop from point B to point C? C6.3. Potential drop from point A to point C? C6.4. Equivalent resistance of the set? (Note that this set is neither a series nor a parallel association). MESH ANALYSIS. EXERCISES

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