Calculus Problem: Find I When R Tends to Zero & V = 5V

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In summary, the conversation is about the formula V=IR and the concept of having a conductor with zero resistance. It is mentioned that in the real world, it is impossible to have zero resistance and thus R tends towards zero but never reaches it. The person is seeking help with a calculus problem where they want to know how to find the limit of I as R tends to zero. It is then stated that the limit of I as R goes to zero does not exist and the person asks for the steps to reach this conclusion. They also question what it means in the real world to say that the limit does not exist and if it is not possible to say that as R goes to zero, I goes towards infinity.
  • #1
PainterGuy
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hello all the people,

in the formula V=IR where V is voltage, I is current and R is resistance. suppose the value of R slowly decreases to "0". in real world, i have been said, it is impossible to have some conductor with zero resistance. which means R tends toward zero without ever reaching it. now i think this is a calculus problem with which you fine people can help me.

suppose V is constant, say, 5V. how do we take limit such that when R tends to "0", "I" become infinite. please show me the light. I'm grateful.

cheers
 
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  • #2
All you can say, or need to say, is that the limit of I as R goes to 0 does not exist.
 
  • #3
hello HallsofIvy,

could you please lead me to the step where we come to the conclusion that limit does not exist. please show me the steps. much obliged.

let V=5, let

5=IR
I=5/R
?

edit:--- what it means in this real world problem to say limit does not exist? is this not possible to say that as R goes to 0, I goes toward infinity? please show me the light.
 
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FAQ: Calculus Problem: Find I When R Tends to Zero & V = 5V

What is the value of I when R tends to zero?

The value of I is undefined when R tends to zero.

How is I related to V when R tends to zero?

When R tends to zero, I is directly proportional to V. This means that as V increases, I also increases.

Can I solve this problem using the limit definition of a derivative?

Yes, you can use the limit definition of a derivative to solve this problem. The limit definition states that the derivative of a function at a specific point is equal to the limit of the function as the variable approaches that point.

Is the limit of I as R tends to zero equal to 5?

No, the limit of I as R tends to zero is undefined. The value of I at R=0 is different from the limit of I as R tends to zero.

How does the value of I change as R approaches zero?

The value of I increases as R approaches zero. This is because as R gets smaller, the denominator in the equation (R/5+1) gets smaller, causing the overall value of I to increase.

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