The discussion revolves around the relationship between resistance, current, and voltage, specifically addressing the assertion that decreasing resistance increases current when voltage is held constant. Participants are examining the validity of this statement in the context of electrical circuits.
The discussion is ongoing, with participants exploring the implications of the statement and questioning the reasoning behind the book's answer. There is a recognition that further context may be necessary to fully understand the problem.
Participants note that the original problem appears to be framed as a true-or-false question, which may limit the depth of analysis. There is mention of potential overarching principles from earlier problems that could influence the interpretation of the current discussion.
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?
There is no complete problem. This was a true-or-false question.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.
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?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?