From the left side of the equation is nothing but the curl of the electric field and it tells about the tendency of field lines to circulate around a point . Curl of a vector means how much the vector curls around the point in question. The right side represents the rate of change of magnetic field with time. So from this it could be stated that
So, if flux through any surface changes, an electric field is produced along the boundary of that surface. Again if there is a conducting material present along that boundary then induced field provides an emf that produces a current through that conducting material. Moving a bar magnet through a loop of wire produces electric current in the wire but if you hold magnet stationary with respect of the loop there would be no induced current.
The negative sign in Faraday’s law tell you that the induced emf opposes the change in flux – that is, it tends to maintain the existing flux. This is called Lenz’s law.
I discussed about both integral and differential form of Gauss’s Law for electric fields. In this article I’m going to discuss about second Maxwell’s equation which is about magnetic fields. So this article would be about Integral form of Gauss’s Law for magnetic fields.
Integral form of Gauss’s Law for magnetic field is written as
In my previous article I discussed about Integral form of Gauss’s Law which is one of the Maxwell’s Equations. Now in this article I’ll discuss about Differential form of the Gauss’s Law.
The integral form of Gauss’s law for electric fields relates the electric flux over a surface to the charge enclosed by that surface. Like all of Maxwell’s Equations, Gauss’s law may also be written in differential form. So, Differential form of Gauss’s Law is
Although student of any level can read and understand them as I try to keep things to basic level but these are meant for Undergraduate level in general.
So we I assume that you are a grade 12 student or already in your college and you have basic introduction of electricity and magnetism as taught in class 12. So you probably knew about Maxwell’s equations. While studying Maxwell’s Equations you encounter two kinds of electric field:
1. the electrostatic field produced by electric charge and
2. the induced electric field produced by a changing magnetic field.