Decreasing the resistance at constant voltage

AI Thread Summary
Decreasing resistance at constant voltage should increase current, as per Ohm's Law (V=IR). However, the textbook claims this statement is false, suggesting there may be additional context or assumptions not provided in the problem. Participants note that without a complete problem statement, it's difficult to assess the validity of the claim. There may be overarching circuit conditions influencing the outcome. Overall, the discussion indicates a potential error in the textbook's solution.
Perseverence
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Homework Statement


decreasing the resistance increases the current if the voltage remains unchanged.

Homework Equations


V=IR

The Attempt at a Solution


The solution in the book does not count this as a true statement, but it seems true to me. Is there any reason why the statement would be false?
 
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Perseverence said:

Homework Statement


decreasing the resistance increases the current if the voltage remains unchanged.

Homework Equations


V=IR

The Attempt at a Solution


The solution in the book does not count this as a true statement, but it seems true to me. Is there any reason why the statement would be false?

I don't see a complete statement of the problem to be solved in the problem statement section of your post; I see only a declarative sentence.

What is the exact question or problem as posed to you? Without knowing the full context helpers might have to make unwarranted assumptions.
 
gneill said:
I don't see a complete statement of the problem to be solved in the problem statement section of your post; I see only a declarative sentence.

What is the exact question or problem as posed to you? Without knowing the full context helpers might have to make unwarranted assumptions.
There is no complete problem. This was a true-or-false question.
 
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Perseverence said:
The solution in the book does not count this as a true statement, but it seems true to me. Is there any reason why the statement would be false?
On the face of it as you have posted it, the statement would appear to be true, for the reason that you have. But if the book says it is false, then as @gneill says, there must be more to the problem. Perhaps there is an overall context that is supposed to be applied? Like an overall statement about a circuit that is given a couple problems earlier that applies to the next 4 questions, or something like that?
 
As I've said before, there was not anything else to this question. It was a true-or-false question. It looks as though the solution guide was wrong. Thank you for your help.
 
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