Understanding the Formula for Exponential Decay of Voltage

Click For Summary
SUMMARY

The discussion centers on the formula for calculating the time during exponential decay of voltage, expressed as t = T * LN(E/V). The example provided illustrates the calculation using T = 7.5 ms, E = 20 V, and V = 14.57 V, resulting in t = 2.38 ms. Participants clarify that "1n" refers to the natural logarithm (LN), which is essential for the calculation. The correct steps involve dividing the voltages, taking the natural logarithm of the result, and multiplying by the time constant.

PREREQUISITES
  • Understanding of exponential decay concepts
  • Familiarity with natural logarithms (LN)
  • Basic knowledge of voltage and time constants in electrical circuits
  • Ability to use a scientific calculator
NEXT STEPS
  • Study the principles of exponential decay in electrical circuits
  • Learn how to use natural logarithms in calculations
  • Explore the relationship between voltage, current, and time in RC circuits
  • Practice solving similar problems involving exponential decay formulas
USEFUL FOR

Electrical engineers, physics students, and anyone interested in understanding voltage decay in circuits will benefit from this discussion.

bryanehli
Messages
5
Reaction score
0
Please Help!

This is based on the time at any point on the curve during exponential decay of voltage.

Could someone explain to me this formula?

t=T1n(E/Vl)

example:

t=(7.5ms)1n(20v/14.57v)=2.38ms.

I get 20/14.57=1.372683596
(7.5)(1.372683596)=10.29512697
where and how do you get 2.38, where does the 1n fall in and how? is there a numerical value for this statement? Please help?
 
Physics news on Phys.org
Please don't multiple post the same question. Your question was answered in your original thread:

https://www.physicsforums.com/showthread.php?t=237561

What you are writing as 1n is actually LN, or the natural log. It is a button on your scientific calculator.
 
it still does not work!
 
bryanehli said:
it still does not work!

Yes it does.

t=(7.5ms) * LN(20v/14.57v) = 2.38ms.

Divide 20/14.57, take the natural log, then multiply by 7.5. I get 2.375something.
 
Thank You!
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 11 ·
Replies
11
Views
4K
Replies
28
Views
4K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 10 ·
Replies
10
Views
8K
  • · Replies 1 ·
Replies
1
Views
9K
  • · Replies 3 ·
Replies
3
Views
14K