Hi,
This my first thread.
I am learning circuit theory from “Fundamentals of Electric Circuits 4th ed - C. Alexander” book.
I am confused while learning the independent loops with the example that is provided in the book.
The definition of independent loop given in that book is “A loop is said to be independent if it contains at least one branch which is not a part of any other independent loop”
Example given for that is as follow:
Example circuit
In book, it is mentioned that there are 3 independent loops
With the given definition, I am able to identify 2 independent loops when I take one sort of loops and 3 independent loops when I take other set of loops. (explained below)
2 independent loops:
I took loops as below
2 loops
3 independent loops:
I took loops as below
3 loops
I am confused whether it has, 2 independent loops or 3 independent loops.
In book, one equation is mentioned.
B = L + N – 1
Where B – no. of branches
L – no. of independent loops
N – no. of nodes
There are 5 branches and 3 nodes in this circuit.
Substituting values in that equation,
5 = L + 3 – 1
L = 3
The equation says, there should be 3 independent loops.
My questions are,
1.Whether there are 2 independent loops or 3 independent loops and please explain why?
2.How they formulated this equation?
3.Is there any other rule to identify independent loop?
Thanks in advance for any help.
Note: I have uploaded the pictures with this thread in case if it is not clearly visible. Refer their name in the thread
This my first thread.
I am learning circuit theory from “Fundamentals of Electric Circuits 4th ed - C. Alexander” book.
I am confused while learning the independent loops with the example that is provided in the book.
The definition of independent loop given in that book is “A loop is said to be independent if it contains at least one branch which is not a part of any other independent loop”
Example given for that is as follow:
Example circuit
In book, it is mentioned that there are 3 independent loops
With the given definition, I am able to identify 2 independent loops when I take one sort of loops and 3 independent loops when I take other set of loops. (explained below)
2 independent loops:
I took loops as below
2 loops
3 independent loops:
I took loops as below
3 loops
I am confused whether it has, 2 independent loops or 3 independent loops.
In book, one equation is mentioned.
B = L + N – 1
Where B – no. of branches
L – no. of independent loops
N – no. of nodes
There are 5 branches and 3 nodes in this circuit.
Substituting values in that equation,
5 = L + 3 – 1
L = 3
The equation says, there should be 3 independent loops.
My questions are,
1.Whether there are 2 independent loops or 3 independent loops and please explain why?
2.How they formulated this equation?
3.Is there any other rule to identify independent loop?
Thanks in advance for any help.
Note: I have uploaded the pictures with this thread in case if it is not clearly visible. Refer their name in the thread
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