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A loop is a single path in a circuit that ends where it starts. For example, one loop in the circuit is the green plus red path. There are three total loops in our circuit. Since a loop ends where it begins, and because energy is conserved, the voltage changes across all the elements in any single loop must sum to zero: Kirchhoff's loop law For a closed loop: • Assign a direction to AV, the current /. • (AV), = 0 AV. AV, Show explicitly that the sum of all voltage changes is zero for all three loops in our circuit. Careful, if you go against the current as you traverse any element, the voltage change flips! AV SUM FOR GREEN/RED LOOP: AV SUM FOR GREEN/BLUE LOOP: AV SUM FOR RED/BLUE LOOP:

A loop is a single path in a circuit that ends where it starts. For example, one loop in the circuit is the green plus red path. There are three total loops in our circuit. Since a loop ends where it begins, and because energy is conserved, the voltage changes across all the elements in any single loop must sum to zero: Kirchhoff's loop law For a closed loop: • Assign a direction to AV, the current /. • (AV), = 0 AV. AV, Show explicitly that the sum of all voltage changes is zero for all three loops in our circuit. Careful, if you go against the current as you traverse any element, the voltage change flips! AV SUM FOR GREEN/RED LOOP: AV SUM FOR GREEN/BLUE LOOP: AV SUM FOR RED/BLUE LOOP:

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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Show explicitly that the sum of all voltage changes is zero for all three loops in our circuit.  Careful, if you go against the current as you traverse any element, the voltage change flips!

ΔV SUM FOR GREEN/RED LOOP:

 

ΔV SUM FOR GREEN/BLUE LOOP:

 

ΔV SUM FOR RED/BLUE LOOP:

A loop is a single path in a circuit that ends where it starts. For example, one loop in the circuit is the green plus red path. There are three total loops in our circuit. Since a loop ends where it begins, and because energy is conserved, the voltage changes across all the elements in any single loop must sum to zero: Kirchhoff's loop law For a closed loop: • Assign a direction to the current /. • (AV), = 0 AV, AV. AV AV, Show explicitly that the sum of all voltage changes is zero for all three loops in our circuit. Careful, if you go against the current as you traverse any element, the voltage change flips! AV SUM FOR GREEN/RED LOOP: AV SUM FOR GREEN/BLUE LOOP: AV SUM FOR RED/BLUE LOOP:
Transcribed Image Text:A loop is a single path in a circuit that ends where it starts. For example, one loop in the circuit is the green plus red path. There are three total loops in our circuit. Since a loop ends where it begins, and because energy is conserved, the voltage changes across all the elements in any single loop must sum to zero: Kirchhoff's loop law For a closed loop: • Assign a direction to the current /. • (AV), = 0 AV, AV. AV AV, Show explicitly that the sum of all voltage changes is zero for all three loops in our circuit. Careful, if you go against the current as you traverse any element, the voltage change flips! AV SUM FOR GREEN/RED LOOP: AV SUM FOR GREEN/BLUE LOOP: AV SUM FOR RED/BLUE LOOP:
Create the following circuit in the simulation. R1 E1 R2 Draw or cut and paste your circuit into your lab report. [CIRCUIT 4] 1000 1000 1990 1000 1000 Figure 4: Circuit 4 Voltage across (measured with Current (A) current flow) (V) Power (W) E1 9.0 V 0.82 A 7.38 W E2 9.0 V 0.82 A 7.38 W R1 -4.91 V 0.49 A -2.40 W R2 -3.27 A 0.33 A -1.08 W R3 -3.27 A 0.33 A -1.08 W L1 -4.91 V 0.49 A -2.40 W L2 -3.27 A 0.33 A -1.08 W L3 -8.18 A 0.82 A -6.71 W
Transcribed Image Text:Create the following circuit in the simulation. R1 E1 R2 Draw or cut and paste your circuit into your lab report. [CIRCUIT 4] 1000 1000 1990 1000 1000 Figure 4: Circuit 4 Voltage across (measured with Current (A) current flow) (V) Power (W) E1 9.0 V 0.82 A 7.38 W E2 9.0 V 0.82 A 7.38 W R1 -4.91 V 0.49 A -2.40 W R2 -3.27 A 0.33 A -1.08 W R3 -3.27 A 0.33 A -1.08 W L1 -4.91 V 0.49 A -2.40 W L2 -3.27 A 0.33 A -1.08 W L3 -8.18 A 0.82 A -6.71 W
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