I'm wondering about the solution (Electrodynamics)

In summary, the conversation discusses the use of the equation Φ = NΦs, where N = nl, to solve a problem involving total flux. One person solves the problem by using this equation, while another person suggests using the equation ∫E⋅dl = -(dΦ)/(dt). They also mention the simplification of the equation by removing the factor of nl.
  • #1
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Total flux is Φ = NΦs where ## N = nl## and Φs is flux due to single loop.In problem 7.24 He solved the problem by using defined of the total flux.
Why problem 7.15 He does not solve the problem with using by using defined of the total flux.

such as (my solution)

Φ = (nl)Φs = (nl)Bπs2 = μ0n2lπs2I(t)

and use ∫E⋅dl = -## (dΦ)/(dt) ##
 

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  • #2
You can do it that way too, however in the last equation you write the path integral of ##\int E\cdot dl## is over all the loops (the path over which we integrate will be some sort of tight helix connecting all the circular loops) so it will have approximately total length ##nl2\pi s## so the ##nl## factor will be simplified from both sides of the equation, that is it will be
$$ \int E \cdot dl=-\frac{d\Phi}{dt} \Rightarrow E\cdot nl 2\pi s=-(nl)\frac{d\Phi_s}{dt}\Rightarrow E=-\frac{1}{2\pi s}\frac{d\Phi_s}{dt}$$
 

What is Electrodynamics?

Electrodynamics is a branch of physics that studies the interaction between electrically charged particles and the electromagnetic field.

What are some real-world applications of Electrodynamics?

Some real-world applications of Electrodynamics include electric motors, generators, telecommunications, and electromagnetic radiation (e.g. radio waves, microwaves, X-rays).

What are Maxwell's equations and their significance in Electrodynamics?

Maxwell's equations are a set of four equations that describe the behavior of electric and magnetic fields. They are significant in Electrodynamics because they provide a fundamental framework for understanding and predicting electromagnetic phenomena.

How does Electrodynamics relate to other branches of physics?

Electrodynamics is closely related to other branches of physics such as classical mechanics, quantum mechanics, and special relativity. It also has applications in other fields like chemistry and engineering.

What are some areas of ongoing research in Electrodynamics?

Some current areas of research in Electrodynamics include quantum electrodynamics, electromagnetism in exotic materials, and the behavior of electromagnetic fields in extreme conditions (e.g. black holes, strong gravitational fields).

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