Consider the circuit diagram below. Solve for the current values and directions through R₁ and R4, and the voltage drop across R3 using mesh analysis. You may consider redrawing the circuit at the end of your analysis to better demonstrate polarities. Show your work and use Matlab to solve the system of equations that you generate. Be sure to include the commands you used in Matlab as part of your analysis. You must also use CircuitJS to verify your result. Attach an exported image or screen shot of your circuit from CircuitJS with the current and voltage "shown" (colors are shown on the diagram). E1 5V R1 1kΩ R2 5k Ω E2 20V R4 2k Ω R3 3k Ω R5 1kΩ

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Problem 3: Question
Consider the circuit diagram below. Solve for the current values and directions
through R₁ and R4, and the voltage drop across R³ using mesh analysis. You may
consider redrawing the circuit at the end of your analysis to better demonstrate
polarities. Show your work and use Matlab to solve the system of equations that
you generate. Be sure to include the commands you used in Matlab as part of
your analysis. You must also use CircuitJS to verify your result. Attach an
exported image or screen shot of your circuit from CircuitJS with the current and
voltage "shown" (colors are shown on the diagram).
E1
5V
R1
1kΩ
R2
5ΚΩ
E2
20V
R4
2Κ Ω
R3
3k Ω
R5
1kΩ
Transcribed Image Text:Problem 3: Question Consider the circuit diagram below. Solve for the current values and directions through R₁ and R4, and the voltage drop across R³ using mesh analysis. You may consider redrawing the circuit at the end of your analysis to better demonstrate polarities. Show your work and use Matlab to solve the system of equations that you generate. Be sure to include the commands you used in Matlab as part of your analysis. You must also use CircuitJS to verify your result. Attach an exported image or screen shot of your circuit from CircuitJS with the current and voltage "shown" (colors are shown on the diagram). E1 5V R1 1kΩ R2 5ΚΩ E2 20V R4 2Κ Ω R3 3k Ω R5 1kΩ
Solving Independent Linear Equations in MATLAB:
Let's say we have the following three equations developed from mesh analysis of a DC resistive
circuit:
We can put Eq 1, Eq 2, and Eq 3 into matrix form (notice the entry of resistances in ohms, not
kilo-ohms):
Define each matrix as follows:
Solve in Matlab:
Command Window
I =
(7 km)4₁ - (2 km)/₂ = 0 Eq 1
(2 km)4₁ - (3 km)/₂ = 100 V Eq 2
(5 km)/3 = 100 V Eq 3
[7000 - 2000
2000-3000
0
-0.011764705882353
-0.041176470588235
0.020000000000000
fx >>
0
0
5000]
A
[4₁]
x ¹₂ = 100
>> format long
>> A=[7000 -2000 0; 2000-3000 0; 0 0 5000];
>> V-[0; 100; 100];
>> I=A\V
So that A/= V
I
V
So, I₁ = -11.7 mA, I2 = -41.2 mA, 13 = 20.0 mA
O
Transcribed Image Text:Solving Independent Linear Equations in MATLAB: Let's say we have the following three equations developed from mesh analysis of a DC resistive circuit: We can put Eq 1, Eq 2, and Eq 3 into matrix form (notice the entry of resistances in ohms, not kilo-ohms): Define each matrix as follows: Solve in Matlab: Command Window I = (7 km)4₁ - (2 km)/₂ = 0 Eq 1 (2 km)4₁ - (3 km)/₂ = 100 V Eq 2 (5 km)/3 = 100 V Eq 3 [7000 - 2000 2000-3000 0 -0.011764705882353 -0.041176470588235 0.020000000000000 fx >> 0 0 5000] A [4₁] x ¹₂ = 100 >> format long >> A=[7000 -2000 0; 2000-3000 0; 0 0 5000]; >> V-[0; 100; 100]; >> I=A\V So that A/= V I V So, I₁ = -11.7 mA, I2 = -41.2 mA, 13 = 20.0 mA O
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