Results 1 to 6 of 6

Thread: Solving -3 + (100)(29*10^{-12})(e^(V_D/(27*10^{-3})) = V_b

  1. #1
    New Member
    Join Date
    Aug 2017
    Posts
    3

    Solving -3 + (100)(29*10^{-12})(e^(V_D/(27*10^{-3})) = V_b

    Can anyone one help me how i can solve this equation?

    [tex]-3\, +\, (100)\,(29\, \times\, (10^{-12})\, \left(e^{^{V_D}\big/{29\, \times\, 10^{-3}}}\, -\, 1\right)\, =\, V_b[/tex]
    Attached Images Attached Images
    Last edited by stapel; 08-19-2017 at 08:17 PM. Reason: Typing out the text in the graphic; creating useful subject line.

  2. #2
    Elite Member
    Join Date
    Jun 2007
    Posts
    17,575
    Quote Originally Posted by zorro View Post
    Capture.PNG
    Can anyone one help me how i can solve this equation?
    You have variables Vb and VD here. Whose value do you want to calculate? What is the value of the other one?
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

  3. #3
    New Member
    Join Date
    Aug 2017
    Posts
    3
    Quote Originally Posted by Subhotosh Khan View Post
    You have variables Vb and VD here. Whose value do you want to calculate? What is the value of the other one?
    both are VD:

    [tex]-3\, +\, (100)\,(29\, \times\, (10^{-12})\, \left(e^{^{V_D}\big/{29\, \times\, 10^{-3}}}\, -\, 1\right)\, =\, V_D[/tex]
    Last edited by stapel; 08-19-2017 at 08:18 PM. Reason: Including corrected equation.

  4. #4
    Elite Member
    Join Date
    Jun 2007
    Posts
    17,575
    Quote Originally Posted by zorro View Post
    both are VD
    You have a nonlinear equation.

    What methods have you been taught to solve these types of equations?

    What are your thoughts?

    Please share your work with us ...even if you know it is wrong.

    If you are stuck at the beginning tell us and we'll start with the definitions.

    You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

    http://www.freemathhelp.com/forum/announcement.php?f=33
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

  5. #5
    New Member
    Join Date
    Aug 2017
    Posts
    3
    Quote Originally Posted by Subhotosh Khan View Post
    You have a nonlinear equation.

    What methods have you been taught to solve these types of equations?

    What are your thoughts?

    Please share your work with us ...even if you know it is wrong.

    If you are stuck at the beginning tell us and we'll start with the definitions.

    You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

    http://www.freemathhelp.com/forum/announcement.php?f=33
    Capture.jpg
    I'm not sure whether its true or not. But this is how i did and i'm stuck.

  6. #6
    Elite Member mmm4444bot's Avatar
    Join Date
    Oct 2005
    Location
    Seattle
    Posts
    9,382
    The given equation represents an equality between a transcendental function and an algebraic function. This type of equation cannot be solved in terms of elementary functions.

    You can take a numerical approach (eg: Newton's Method), to approximate solution(s).

    Exact solution(s) may be expressed, in terms of the LambertW function (generally not covered in undergraduate calculus courses).
    "English is the most ambiguous language in the world." ~ Yours Truly, 1969

Tags for this Thread

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •