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We now want to use Kirchhoff's laws to solve for unknown currents in a circuit. We will go through the procedure step by step 3. Simplify the circuit (if possible). Are there any resistors that are clearly in parallel or series? If so, replace the resistors involved with the equivalent resistor and draw the simplified circuit. 4. Guess and draw the directions of currents. Guess the direction of each unique current in the circuit. Label and draw arrows in the circuit indicating the direction. In this case, there will be three unique currents so label them 1₁, 1₂ and I,. If you guess the direction of a current wrong, the current will turn out negative which you can switch when you report your final answer. 5. Apply Kirchhoff's Junction law for one of the junctions to get a relation between the unknowns 1, 2 and 3. Pay attention to the direction of the currents. 20 24 V 6 V Holl 10 www w 30 10 V 6. We now have one relation but three unknowns. We need two more relations to solve this problem. We will get this relation by applying Kirchh off's loop law for two different loops. a. Choose one loop and apply Kirchhoff's loop rule to the loop. That is, start at one point in the loop and write the sum of the voltage changes (in terms of the unknown currents ₁, ₂ and I) until you return to where you started. Simplify the equation as much as possible.

We now want to use Kirchhoff's laws to solve for unknown currents in a circuit. We will go through the procedure step by step 3. Simplify the circuit (if possible). Are there any resistors that are clearly in parallel or series? If so, replace the resistors involved with the equivalent resistor and draw the simplified circuit. 4. Guess and draw the directions of currents. Guess the direction of each unique current in the circuit. Label and draw arrows in the circuit indicating the direction. In this case, there will be three unique currents so label them 1₁, 1₂ and I,. If you guess the direction of a current wrong, the current will turn out negative which you can switch when you report your final answer. 5. Apply Kirchhoff's Junction law for one of the junctions to get a relation between the unknowns 1, 2 and 3. Pay attention to the direction of the currents. 20 24 V 6 V Holl 10 www w 30 10 V 6. We now have one relation but three unknowns. We need two more relations to solve this problem. We will get this relation by applying Kirchh off's loop law for two different loops. a. Choose one loop and apply Kirchhoff's loop rule to the loop. That is, start at one point in the loop and write the sum of the voltage changes (in terms of the unknown currents ₁, ₂ and I) until you return to where you started. Simplify the equation as much as possible.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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We now want to use Kirchhoff's laws to solve for unknown currents in a circuit. We will go through the procedure step by step 3. Simplify the circuit (if possible). Are there any resistors that are clearly in parallel or series? If so, replace the resistors involved with the equivalent resistor and draw the simplified circuit. 4. Guess and draw the directions of currents. Guess the direction of each unique current in the circuit. Label and draw arrows in the circuit indicating the direction. In this case, there will be three unique currents so label them 1₁, 1₂ and I,. If you guess the direction of a current wrong, the current will turn out negative which you can switch when you report your final answer. 5. Apply Kirchhoff's Junction law for one of the junctions to get a relation between the unknowns I₁, I2 and 13. Pay attention to the direction of the currents. 20 24 V www 6 V in b. Choose a second loop and apply Kirchhoffs loop rule for that loop. Lun 30 6. We now have one relation but three unknowns. We need two more relations to solve this problem. We will get this relation by applying Kirchhoff's loop law for two different loops. a. Choose one loop and apply Kirchhoff's loop rule to the loop. That is, start at one point in the loop and write the sum of the voltage changes (in terms of the unknown currents ₁, ₂ and Ig) until you return to where you started. Simplify the equation as much as possible. 10 V
Transcribed Image Text:We now want to use Kirchhoff's laws to solve for unknown currents in a circuit. We will go through the procedure step by step 3. Simplify the circuit (if possible). Are there any resistors that are clearly in parallel or series? If so, replace the resistors involved with the equivalent resistor and draw the simplified circuit. 4. Guess and draw the directions of currents. Guess the direction of each unique current in the circuit. Label and draw arrows in the circuit indicating the direction. In this case, there will be three unique currents so label them 1₁, 1₂ and I,. If you guess the direction of a current wrong, the current will turn out negative which you can switch when you report your final answer. 5. Apply Kirchhoff's Junction law for one of the junctions to get a relation between the unknowns I₁, I2 and 13. Pay attention to the direction of the currents. 20 24 V www 6 V in b. Choose a second loop and apply Kirchhoffs loop rule for that loop. Lun 30 6. We now have one relation but three unknowns. We need two more relations to solve this problem. We will get this relation by applying Kirchhoff's loop law for two different loops. a. Choose one loop and apply Kirchhoff's loop rule to the loop. That is, start at one point in the loop and write the sum of the voltage changes (in terms of the unknown currents ₁, ₂ and Ig) until you return to where you started. Simplify the equation as much as possible. 10 V
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