How to determine the number of meshes and loops in a circuit?

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To determine the number of meshes and loops in a circuit, one must analyze the circuit diagram carefully, noting any short circuits that may simplify the structure. In the discussed circuit, a short circuit across a resistor can reduce complexity, allowing for easier identification of loops and meshes. For more complicated circuits, standardized procedures such as identifying independent loops and applying mesh analysis can be helpful. The importance of clear communication and proper notation, such as using LaTeX for equations, is emphasized for effective problem-solving. Understanding these concepts is crucial for accurately determining current directions and circuit behavior.
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Homework Statement
How many meshes&loops are there in this circuit?Based on the information given in the diagram,could we determine the current direction through OP??
Relevant Equations
no
question1.png
 
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asd852 said:
Homework Statement:: How many meshes&loops are there in this circuit?Based on the information given in the diagram,could we determine the current direction through OP??
Relevant Equations:: no

View attachment 273435
You are required to show your attempt at working this problem before we can offer tutorial help. How should you approach this problem?
 
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It is difficult to read and understand what you are trying to do. Can you say in words what your approach is? Also, it's better if you learn to post in LaTeX for math equations. See the LaTeX Guide link in the lower left of the Edit window.

Finally, the circuit diagram is confusing. Is there a short circuit wire across the ##4\Omega## resistor at the left of the schematic?

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In this example,mn is short circuit,and we have a simple circuit,where I can easily count the numbe of mesh (or loop?) by randoml way and its 2 in this pariticular case, p----g、a-g-p-o-b.What if I encounter a more complicated one such as the one shown below,how should I count it ,are there and standralized procedures for doing it ?
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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