The discussion revolves around the concept of rotating motional electromotive force (emf) and the use of effective length in its calculation. Participants explore the theoretical underpinnings and mathematical approaches to understanding this phenomenon, particularly in the context of problems from physics textbooks.
Participants do not reach a consensus on the use of effective length in calculating motional emf, with multiple competing views and approaches presented. The discussion remains unresolved regarding the proof that shape does not matter in this context.
There are limitations in the discussion regarding assumptions about the relationship between shape and emf, as well as the mathematical steps involved in proving the effective length concept. Some participants express uncertainty about the applicability of different methods.
Maybe that is an easier approach, but not the only one. It can also be solved using the straightforward calculus method. Is the answer given?Mausam said:
Thank you so much for your reply ,yes the answer is given, actually had a doubt that why can we use the effective length though the velocity of every point is different.i mean i am not able to prove that the shape doesn't matter ...so could u please help me prove it in this case ,i am able to prove it when there is no rotation. This is from DC PANDEYcnh1995 said:
This effective length part can be proved using some calculus. Do you know how to set up a differential equation?Mausam said:
If possible can u please elaborate on itcnh1995 said:
Consider the section OCA only. Here, you want to show that arc-length AC is effectively equal to the straight line distance AC. What is the emf induced in the straight line AC if length AC=l?Mausam said:
It's half(B)(w)L²cnh1995 said:
