Right hand rule for cross product:-
Consider that c is the cross product of two vectors a and b i.e.,
c=a x b
If direction of vector a is along the x axis and that of b along z axis then direction of vector c could be find using right hand rule for cross products.
Right hand rule for cross product:-
Today in this post I’ll be writing about the electricity and magnetism books that I feel might be good considering whiling studying this subject for your undergraduate exams and also for when you appear for entrance exams like JAM for getting admission in masters in physics from good university or institute
ELECTRICITY AND MAGNETISM by A Mahajan, A Rangwala :- This is the first book in my list and I really like this book as it is extensive in its content and things are explained pretty clearly. You can consider this book for its comprehensiveness. You can take a look at the preview of this book here
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.
Gauss’s Law in differential form states that
The divergence of magnetic field at any point is zero
Now in case of differential form of Gauss’s law for electric fields divergence of electric field is proportional to electric charge density but here in case of magnetic fields divergence of field at any point is zero because here it is not possible to have isolated magnetic poles as magnetic poles always appear in pair of north and south poles. So there is no such thing as magnetic charge density and this means that divergence of magnetic field is zero.
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.