15:49 I believe there is a sign error. It should be + grad(del.A) instead of -grad(del.A). However, this error is corrected once the 4-vector form of the equation is written at 20:00 EDIT: That is the very first thing that gets pointed out in the next lecture.
well. A vector remains invariant under rotations of coordinate system. Just rotating our coordinate axes will have no effect on the vector itself. The components will change under new coordinates axes but the vector is still same. Since, there are vector equations in Maxwell's equations, we say rotational invariance is manifested in them.
I must say professor your teaching style is marvelous
15:49 I believe there is a sign error. It should be + grad(del.A) instead of -grad(del.A). However, this error is corrected once the 4-vector form of the equation is written at 20:00
EDIT: That is the very first thing that gets pointed out in the next lecture.
Thanks sir for such great lecture
I didnt understand how rotational invariance is manisfested in maxwell eqn , i am not able to see this by inspection, can anyone clarify this for me ?
well. A vector remains invariant under rotations of coordinate system. Just rotating our coordinate axes will have no effect on the vector itself. The components will change under new coordinates axes but the vector is still same. Since, there are vector equations in Maxwell's equations, we say rotational invariance is manifested in them.
Can anyone suggest books except Goldstein?
Gregorian calendar
good
This is God's engineering