What is the curl of the electric field produced by changing magnetic flux?

AI Thread Summary
The discussion revolves around the nature of the electric field generated by changing magnetic flux, which is described as nonconservative. The curl of a conservative field is zero, while the curl of the electric field due to a time-varying magnetic field is non-zero, as indicated by Faraday's Law, a key equation in Maxwell's equations. The conversation highlights the importance of understanding vector calculus and the context of the question to provide a more accurate explanation. Additionally, the original poster is encouraged to clarify their knowledge level and the specific textbook referenced. Understanding these concepts is crucial for grasping the relationship between electric and magnetic fields in electromagnetic theory.
Xubi
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Homework Statement


My book says that the electric field produced by changing magnetic flux is nonconservative in nature but it doesn't give any explanation.

Homework Equations

The Attempt at a Solution

 
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Xubi said:

Homework Statement


My book says that the electric field produced by changing magnetic flux is nonconservative in nature but it doesn't give any explanation.

Homework Equations

The Attempt at a Solution


1. If field F is conservative, what is the curl of F?

2. So if E is present due to time varying B field, i.e. dB/dt is not zero, what is the curl of E? Look up the differential form of Faraday's Law (i.e. one of Maxwell equation).

Please note that your question gave no clear indication of your level of knowledge or what you know. So I have to assume that you know (i) vector calculus and (ii) Maxwell equation.

Otherwise, you should have been very clear on what book you are referring to and what level this is at.

Zz.
 
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