Finding the time constant

  • Thread starter Rombus
  • Start date
  • #1
16
0

Homework Statement


Find the time constant
[itex] x(t)=4 e^{-4t} u(t)[/itex]

Homework Equations


[itex] \tau = \frac{1}{\lambda} [/itex]


The Attempt at a Solution


[itex] \tau = \frac{1}{\lambda}= \frac{1}{4} = .25 [/itex]

I know the unit step is shifting the start of the decay function to zero, but I'm not sure how or if this can affect the time constant. So my question is how does the unit step affect the time constant?
 

Answers and Replies

  • #2
Ray Vickson
Science Advisor
Homework Helper
Dearly Missed
10,706
1,722

Homework Statement


Find the time constant
[itex] x(t)=4 e^{-4t} u(t)[/itex]

Homework Equations


[itex] \tau = \frac{1}{\lambda} [/itex]


The Attempt at a Solution


[itex] \tau = \frac{1}{\lambda}= \frac{1}{4} = .25 [/itex]

I know the unit step is shifting the start of the decay function to zero, but I'm not sure how or if this can affect the time constant. So my question is how does the unit step affect the time constant?

It has no effect. Just recall the definition of time constant.

RGV
 

Related Threads on Finding the time constant

  • Last Post
Replies
4
Views
2K
Replies
3
Views
966
  • Last Post
Replies
8
Views
5K
  • Last Post
Replies
10
Views
11K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
2
Views
2K
Replies
5
Views
3K
Replies
7
Views
1K
Replies
3
Views
1K
Top