B Solving a Circuit: Neglecting the 1 Ohm Resistor

AI Thread Summary
The discussion centers on the rationale for neglecting a 1-ohm resistor in a circuit analysis, where it is determined that the current through this resistor is zero. Participants clarify that since the resistor does not affect the circuit's behavior due to the absence of current, it can be disregarded without altering the equivalent resistance calculations. The open circuit at the voltage source (V0) confirms that no current flows through the 1-ohm resistor. This understanding allows for a simplified analysis of the remaining resistors, which are 6 and 3 ohms. The conclusion is that ignoring the 1-ohm resistor is valid when it contributes no current to the circuit.
Neon32
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I want to know why in this problem in the solution, he disregarded the 1 ohm resistor and found the equivalent resistance of 6 and 3 ohms right away.

https://imgur.com/a/efG11
 
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What is the current through that resistor? What does that tell you about the voltage drop across it?
 
Nugatory said:
What is the current through that resistor? What does that tell you about the voltage drop across it?

I don't know the current through that resistor. Actually I don't know the current on any of the resistors so I'm not sure what you are trying to say.
 
Current has to come from someplace and go to another. If there was current in the 1 ohm resistor, where would it go?
 
anorlunda said:
Current has to come from someplace and go to another. If there was current in the 1 ohm resistor, where would it go?
it will go to V0. there is a voltage V0
 
No, you are misinterpreting the diagram. Those circles at the ends of the wires near V0 depict the terminals of an open circuit. Zero current goes to V0.
 
anorlunda said:
No, you are misinterpreting the diagram. Those circles at the ends of the wires near V0 depict the terminals of an open circuit. Zero current goes to V0.
So you mean if the current doesn't go anywhere after passing through the resistor so we disregard it? we consider the current is equal 0?
 
Neon32 said:
So you mean if the current doesn't go anywhere after passing through the resistor so we disregard it? we consider the current is equal 0?

Yes. If we know the current in the resistor is zero, then the resistor can be removed or ignored without changing the circuit.
 
Neon32 said:
So you mean if the current doesn't go anywhere after passing through the resistor so we disregard it?
anorlunda said:
Yes. If we know the current in the resistor is zero, then the resistor can be removed or ignored without changing the circuit.
Got it. Thank you, appreciated.
 
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