☑️14 - Mesh Analysis with Voltage Sources

In this lesson, we shall learn how to solve circuits problem using mesh analysis considering circuits with voltage sources.
A loop is any closed path in a circuit, while
A mesh is a loop that does not contain any other loop within itself.
The current in a mesh is called a mesh current
In this lesson we shall solve two examples.
Steps to solve circuits using mesh analysis
1. Assign mesh currents in the circuit
2. Apply kvl at each mesh and use ohms law to express the voltages in terms of mesh currents.
3. Solve the equations obtained simultaneously, if the equations obtained are more than two, it is preferred to use cramer's rule or matrix inversion method while you can use method of elimination and substitution for two equations.
NB: the number of meshes gives an indication of the number of equations you are going to obtain.
00:00 - Mesh Analysis
03:31 - Example 1
11:05 - Example 2
Playlists on various Course
1. Applied Electricity
• APPLIED ELECTRICITY
2. Linear Algebra / Math 151
• LINEAR ALGEBRA
3. Basic Mechanics
• BASIC MECHANICS / STATICS
4. Calculus with Analysis / Calculus 1 / Math 152
• CALCULUS WITH ANALYSIS...
5. Differential Equations / Math 251
• DIFFERENTIAL EQUATIONS
6. Electric Circuit Theory / Circuit Design
• ELECTRIC CIRCUIT THEOR...
Make sure to watch till the end.
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Thank you.

[@bartukacar5629]

Amazing explanation

[@SkanCityAcademy_SirJohn]

Thanks so so much.

[@timdavid5638]

Wonderful

[@SkanCityAcademy_SirJohn]

Thanks so much

[@thatschemistry9264]

How do i know when to divide the equation and what no number to use

[@SkanCityAcademy_SirJohn]

We divide the equation through by a constant when the coefficients of the variables a large. We usually don't want to be dealing with large values.
For the number, divide by the coefficient of the variable with the highest power.

[@user-gj7im4ir1d]

but in example 2 you have i3=I_0, not i3=i0, how can you substitute it? uppercase I 0 is not the same as lowercase i0, isn't it?

[@SkanCityAcademy_SirJohn]

I understand you, but in this case, it is the same.

[@user-mc2kv1rv8b]

in second example 10 i0 shouldn't be negative at second mesh?

[@SkanCityAcademy_SirJohn]

No please, it's supposed to be negative, we assume conventional flow of current as this since current in leaving the positive terminal, and in line with i2 it is positive.

[@rickp9714]

in example 2 how did you determine i3= d3/d ?

[@SkanCityAcademy_SirJohn]

okay, so that is actually a formula being provided from the cramer's rule, since we want to find io which is equal to i3, we dont need to do i1 and i2 first, we can just skip to i3 = d3/d to get our solution, in the lesson i explained how to get i1,i2 and i3 from cramer's rule. Hope you got it? thank you.

[@timdavid5638]

Nice ❤️❤️❤️❤️

[@SkanCityAcademy_SirJohn]

Thank you

[@idrisabdullahi9348]

but the first example its seems to be 36= -2i1 -12(i1-i2) - 4i1 since resistance always resist the flow of current. Furthermore the current is entering from the positive terminal of the resistance and move out to the negative terminal thats why it should be negative

[@SkanCityAcademy_SirJohn]

No please, look at the direction of the current flow of i1, it is in the clockwise direction, which is the same as the direction we are taking and mind you, we consider the conventional flow of current.

[@idrisabdullahi9348]

@@SkanCityAcademy_SirJohn okay, noted

[@SkanCityAcademy_SirJohn]

Thanks for watching...

[@hamzaatheb]

Could you please tell me why in mesh no 2
You but (-12 ×(i1-i2) I think should +12×(i2-i1)
Thanks

[@SkanCityAcademy_SirJohn]

This is because I to took the clockwise direction which means that the direction opposes current in 12ohms. Hence it's supposed to be -12(i1-i2)

[@NokulungaMacu-uq8qu]

I understand the -12. But I thought it's going to be i2-i1 because it's the 2nd loop. Guys this is confusing because other tutors says i2 take the lead on loop 2. Please clarify thanks 1st example

[@SkanCityAcademy_SirJohn]

@NokulungaMacu-uq8qu kindly state the time in the video for easy reference

[@ahmadwehbi6233]

what is the name of the book so i can solve more problems ?

[@SkanCityAcademy_SirJohn]

Fundamentals of electric circuit, Alexander and Sadiku

[@KafuKemeh]

For the first example the mesh 1 how did u get the 4 ohms to have the current of I1 while the 12 ohms the current is (I1-I2)

[@SkanCityAcademy_SirJohn]

It's simply because 12 ohms is in the middle branch, and in the middle branch, the total current is as a results of i1 and i2.
Since i2 oppose i1
The total current is i1-i2

[@nitiponsupanitinun8091]

Could you please explain the 1st example , current is zero in second loop, how's it possible. (Sorry for my English)

[@SkanCityAcademy_SirJohn]

That is actually what it means, I don't know how to further explain to you. I guess you don't understand why we should get a zero in our calculation.

[@nitiponsupanitinun8091]

@@SkanCityAcademy_SirJohnok, thanks for your answer.

[@SkanCityAcademy_SirJohn]

You are most welcome. Where do you watch this video from?

[@nitiponsupanitinun8091]

@@SkanCityAcademy_SirJohn Thailand.

[@SkanCityAcademy_SirJohn]

@@nitiponsupanitinun8091 thatsgreat, nice to hear from you from Thailand, which program do you read in school?

[@ndzalamankwinika2999]

Hy sir where can i send a question that i have im writing soon😢

[@SkanCityAcademy_SirJohn]

Kindly join my telegram group for tertiary students and text me directly

[@ndzalamankwinika2999]

@@SkanCityAcademy_SirJohn thanks a lot sir

[@duniasy]

​@@SkanCityAcademy_SirJohnWhere can I find the group link?