write the mathematical expression of Faraday's law of induction
Answers
Answer:
First Law of Faraday's Electromagnetic Induction state that whenever a conductor are placed in a varying magnetic field emf are induced which is called induced emf, if the conductor circuit are closed current are also induced which is called induced current.
Faraday's second law of electrolysis states that, when the same quantity of electricity is passed through several electrolytes, the mass of the substances deposited are proportional to their respective chemical equivalent or equivalent weight.
In a nutshell, the law states that changing magnetic field (dΦBdt) ( d Φ B dt ) produces an electric field (ε) , Faraday's law of induction is expressed as ε=−∂ΦB∂t ε = − ∂ Φ B ∂ t , where ε is induced EMF and ΦB is magnetic flux.
Answer:
The electromotive force around a closed path is equal to the negative of the time rate of change of the magnetic flux enclosed by the path
Explanation:
For a loop of wire in a magnetic field, the magnetic flux ΦB is defined for any surface Σ whose boundary is the given loop. Since the wire loop may be moving, we write Σ(t) for the surface. The magnetic flux is the surface integral:
where dA is an element of surface area of the moving surface Σ(t), B is the magnetic field, and B · dA is a vector dot product representing the element of flux through dA. In more visual terms, the magnetic flux through the wire loop is proportional to the number of magnetic field lines that pass through the loop.