The discussion centers on solving a differential equation related to speed in an electromagnetism context. The user derived the formula dv/v = ((B2L2)/(Rm))dt and integrated it to obtain v = e^((B2L2)/(Rm))T. However, they noted the absence of an initial velocity term (Vo) in their solution. A participant clarified that the constant of integration was overlooked, leading to the correct expression ln|v| = ((B2L2)/(Rm))t + C, which includes the initial condition.
PREREQUISITESStudents studying physics, particularly those focusing on electromagnetism and differential equations, as well as educators looking for clarification on integration in physics contexts.
It looks like you forgot the constant of integration.leonne said:Homework Statement
...what is speed at a later time T. It a physics problem(electromagnetism)
Homework Equations
The Attempt at a Solution
ok so i got up to this formula
dv/v=((B2L2)/(Rm))dt
and i do the integration and get
v=e((B2L2)/(Rm))T but the answer is similar but has a Vo before the e. Whats with the Vo?
thanks