Engineering Questions regarding DC circuits

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The resistance between points A and B in the discussed DC circuit is effectively zero, assuming ideal conditions where the connecting wire has no resistance. This conclusion is supported by the principle that current flows through the path of least resistance, which in this case is the wire. In a mathematical analysis, a wire with zero resistance in parallel with any resistor results in an equivalent resistance of zero. While real transmission lines do have some resistance, network analysis often simplifies this to zero for theoretical calculations. Understanding this concept is crucial for analyzing DC circuits accurately.
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I have one confusing issue to resolve:

What is the resistance between points A and B in simple system illustrated in attachment?Wouldn`t be logical to assume that it is 0,as current strives to flow through path with lowest possible resistance,if I understood it correctly?

Yes,I know that real transmission lines have some resistance,but in network anaylsis their resistance is considered to be equal to zero.
 

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R A V E N said:
I have one confusing issue to resolve:

What is the resistance between points A and B in simple system illustrated in attachment?Wouldn`t be logical to assume that it is 0,as current strives to flow through path with lowest possible resistance,if I understood it correctly?

Yes,I know that real transmission lines have some resistance,but in network anaylsis their resistance is considered to be equal to zero.


You have a short circuit so what ever the resistance of the wire connecting point A and B.

CS
 
Yeah, it's zero assuming everything's ideal. Mathematically even, you have a wire (R=0) in parallel with a resistor (R=R_0). Then the parallel combination is:

R_{eq} = \frac{1}{ \frac{1}{0} + \frac{1}{R_0} } = \frac{1}{\infty + \frac{1}{R_0}} = 0

I should probably have put some limits in there to be mathematically correct, but you get the idea.
 
Thanks to both of you!
 
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