VISUALIZING MATHS & PHYSICS : VISUALIZING FLUX AND FLUX EQUATION INTUITIVELY.

Thursday, 14 January 2021

VISUALIZING FLUX AND FLUX EQUATION INTUITIVELY.

EXAMPLE OF FLUX

Flux is any effect or influence like heat or magnetic field or electric field which usually has the ability to pass through substances and surfaces.

Flux describes how much of an influence is passing out through a surface.

Eg:- X - Rays,

ANALOGY FOR FLUX

Hair growing from your scalp or grasses growing from the ground. The denser they are, the more you speak of flux density.

PARALLEL AND PERPENDICULAR COMPONENTS OF FLUX

Flux has a component perpendicular to the surface. And it has another component parallel to the surface. Only the component perpendicular to the surface has a significant effect . This component perpendicular to the surface will be parallel to the normal 'n'. The normal is a line drawn perpendicular to the surface.

So the line that is perpendicular to the surface will be parallel to the normal. Because the normal itself if an imaginary line perpendicular to the surface. So any flux line perpendicular to the surface will be parallel to the normal and these are the only lines which have any significant

So another way of putting it is that only that flux components which is parallel to the normal ( and thus perpendicular to the surface ) will have any significant effect .

EQUATION OF FLUX

It is Flux strength experienced = How strong the field intensity is x How large the surface area is of the surface through which flux is passing x how parallel the normal (an imaginary perpendicular line drawn to the surface is ) x how parallel the field lines are w.r.t the normal drawn to the surface (this angle is represented by cos(thetha)

The above explanation in formula format is as.....

F = E.A.cos(angle)

FLUX IS ZERO WHEN FIELD IS PERPENDICULAR TO THE SURFACE ( And thus parallel to the normal).

ANALOGY FOR THIS IS AS FOLLOWS

Now imagine that this arrow is being shot northwards. It will hit the target because the target seems to face it.

But now imagine an arrow being shot from west to east or vice-versa. Will this east-west arrow hit the target at all. No, right ? Because it runs parallel to the plane of target (bullseye plank ).

COS( ) COMES INTO MATH WHEN 2 FORCES/INFLUENCES ARE SUCH THAT THEY PRODUCE MAXIMUM IMPACT WHEN KEPT PARALLEL TO EACH OTHER.

So, if in the equation , you see cos( ), that means that net forces will be maximum when the influences are parallel to each other.