Exponential revision question I can't work out?

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The discussion revolves around solving the equation i = 12.5(1 - e^(-t/cr)) for the variable t. The user, Ramjam, is struggling with the algebraic manipulation required to isolate t, specifically after transposing the equation to i/12.5 = 1 - e^(-t/cr). Participants emphasize the need to correctly handle the constants and negative signs, guiding Ramjam to eliminate the 1 on the right side and apply logarithms appropriately. The conversation highlights the importance of careful algebraic steps and clarifies that the variable i can take on both positive and negative values. Ultimately, the goal is to determine the time t when the current i reaches 10 amperes, using the provided resistance and capacitance values.
  • #31
opps sorry that should be -i/12.5-1=e-t/cr
 
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  • #32
Ramjam said:
opps sorry that should be -i/12.5-1=e-t/cr
No, that's not right either. You really need to be more careful.
 
  • #33
in that case i don't under what you mean by
After you multiplied by -1, what happened to the -1?
 
  • #34
What is -1 times i/12.5 - 1?

If you're having such a difficult time with basic algebra, I am very concerned about the prospects of you working with exponential and log equations.
 
  • #35
Mark44 said:
What is -1 times i/12.5 - 1?

If you're having such a difficult time with basic algebra, I am very concerned about the prospects of you working with exponential and log equations.
It was 2am in the uk and after a long working day which i also do along side my course probably wasn't the best idea.

Right here are my working so far now that I've been had some sleep,

we start with I=12.5(1-e-t/cr)

I then divide both sides by 12.5 removing the 12.5 from the right hand side.

I/12.5 = 1-e-t/cr

I then subtract -1 from both sides

I/12.5 -1 = -e-t/cr

I then times both sides by -1 giving me

(1- I/12.5) = e-t/cr

how ever to remove I am unsure of how to go on from here?
 
  • #36
You need the time when the current I reaches the value I=10 A. Note that 12.5 is also in amperes. Substitute 10 for I and evaluate the left side of the equation.
Also calculate cr, or better CR from the given value of capacitance C and resistance R.
 

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