willem2, I think you are missing appropriate boundary conditions. Am I right? Well, if the magnetic field was generated from a long solenoid of radius 'r' , then would the electric field curl around the axis of the solenoid?
Suppose there is an uniform magnetic field along z-direction. Now someone turns off the field. Then there will be an induced electric field.
Can anybody draw this induced electric field lines?
I know the electric field will curl around. But where will be the centre of that curl.
Do the electric...
While reading Special Theory of Relativity from Feynman Lectures, I fell into the confusion about invariant speed of light.
What I'm asking for is an explanation about this.
No matter whether physical explanation or mathematical.
So my question is Why the speed of light is same for a person...
Well after thinking for a while, I came to the conclusion that ##\nabla \cdot E## can be evaluated at every point as you said.
I don't know how you would explain this. My explanation is as follows..
##\nabla \cdot E## integrated over a volume means the flux for the total charge enclosed by the...
You are surely missing something.
You said "d" is scalar, but "E" is a vector... so the resultant is a Vector... But resultant of Divergence is scalar.
Divergence is defined as the dot product of Del(vector) and other vector quantity.
Which point ?? My purpose was only to ask "Which Point?"
At origin O or at the point P whose position vector is \vec{r}?
If the infinitesimal volume be at P then (Del.E) must be zero because this volume is not enclosing any charge.
If you say that volume is at O then why it is necessary to...
I think this is called Gradient.
Divergence is the measure of outward flux of a vector from a volume. i.e. Diverging of a vector.
http://en.m.wikipedia.org/wiki/Divergence
What you have told just ran over my head. Ok let me simplify my confusion for you.
This time I shall introduce only one coordinate system. And for my convenience I'm talking about electric field E instead of B.
Suppose there is a charge distribution at origin O. The field for this distribution...
Currently I'm reading Magnetostatics. While reading Divergence of B, I fell into a confusion that what divergence really means w.r.t. a coordinate system.
Supposed there is a current distribution J at r' w.r.t. some primed coordinate system. And B is defined at position r w.r.t. unprimed...