Problem with a 'simple' equation?

  • Thread starter Thread starter rudderbird
  • Start date Start date
Click For Summary
The discussion revolves around confusion regarding the equation i = E/R + Ae^[-(RT)/L] and its components. The user questions the derivation of e^(t/λ) when λ is defined as R/L, suggesting it should be e^(t*λ) and highlights the absence of a minus sign in the exponent. They believe the correct interpretation should include a negative exponent, indicating a typographical error in the source material. The user seeks confirmation on their understanding that the equation should reflect this correction for accuracy. Clarity on these points is essential for proper application of the equation.
rudderbird
Messages
2
Reaction score
0
https://scontent-a-sin.xx.fbcdn.net/hphotos-xpf1/v/t1.0-9/q83/s720x720/960276_419358564889369_6107296607749832321_n.jpg?oh=848f1c866e20f0178f835cfec07b41b4&oe=555E6332

Okay so, the main equation was this-
i = E/R + Ae^[-(RT)/L]

My problem is with the equation no. 2.
How do we get e^t/lamda when lamda = R/L? It should be e^t*lamda and where did the minus symbol go (the one in the power of e). And to equate i = i not it has to be (1 - e^t/lamda) = 1 and if t tends to infinity that's not possible in any way!

Please tell me where I am doing wrong! HELP!
 
Mathematics news on Phys.org
The page has an error. Lambda should be L/R. The typography of the book puts a minus sign on the same level as the line for a fraction, so I think the exponent that looks like \frac{t}{\lambda} is really \frac{-t}{\lambda}. To be correct, it should have the minus sign.
 
Thanks so much! I just needed a confirmation!
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

Replies
3
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
9
Views
3K
Replies
11
Views
2K
  • · Replies 1 ·
Replies
1
Views
870
Replies
4
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K