1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I Connection Between Calculus and Physics

  1. Sep 8, 2016 #1
    I am at the stage of my education where I am seeing calculus (mainly differential equations) popping up in my engineering courses. However, I have just started multi-variable calculus, so I have not taken differential equations yet. My professors basically show us how certain equations are derived, but do not expect us to derive them ourselves yet. However, it bothers me not knowing at least conceptually how these equations even come to be. For example:

    [tex] power = \frac{dU}{dt} = \frac{dU}{dq} * \frac{dq}{dt} = iv [/tex]

    I can see that current = energy/charge and that voltage = charge/time, but how exactly is calculus applied to the original power formula to come to the conclusion that power = iv? What is the mathematical process?
     
  2. jcsd
  3. Sep 8, 2016 #2

    BvU

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Actually it's the other way around:
    voltage = energy/charge and current = charge/time
    The mathematical 'process' is the chain rule (in the 'other direction'):
    if a is a function of b which in turn is a function of c, so a(b(c)), then $${da\over dc} = {da\over db} \; {db\over dc}$$​
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Connection Between Calculus and Physics
  1. Calculus and Physics (Replies: 26)

Loading...