What is the expression for terminal speed in this homework statement?

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
2 replies · 2K views
cuongbui1702
Messages
31
Reaction score
0

Homework Statement


29-59_zpsca4d2d1f.png



Homework Equations


That is the solution:
29-59_zps10e24f3f.png



The Attempt at a Solution


I think ε≠Bvl because ε = - dø/dt=- Bd(v.t)/dt, v is not constant.
Why ε=Bvl?
 
on Phys.org
The induced emf in the loop is related to the change in flux through a surface whose boundary is the loop: $$\epsilon = -\frac{\text{d} \phi}{\text{d}t} = -\frac{\text{d}}{\text{d}t} \int_S \mathbf{B} \cdot \mathbf{dS}$$
In your case, the B field is of constant magnitude and direction and dS instantaneously is Ldx.
 
  • Like
Likes   Reactions: 1 person
dø/dt = d(B. Area)/dt = d(BLx)/dt = BL dx/dt = BLv.
 
  • Like
Likes   Reactions: 1 person