5. Physics | Electric Flux | Electric Flux in a Non-Uniform Electric Field | by Ashish Arora

5. Physics | Electric Flux | Electric Flux in a Non-Uniform Electric Field | by Ashish Arora


now let’s study the electric flux calculation
in a non uniform electric field. here we can see, we’re given with a surface, say the
name of this surface is taken as, m. and it is placed in a non uniform electric field.
here we can see that, the configuration of electric lines of force, is that of non uniform
electric field. and say here we’re required to find the amount of electric flux passing
through the surface, m. then in this situation we consider a small elemental area d s on
the surface, of which the outward vector can be taken as d s vector. and the direction
of electric field in this region is e vector, and say the angle between the 2 is theta.
and here we can say if, d phi be the electric flux, passing through, the area, d s. then
this d phi can be written as, e d s coz-theta, because we know that, d phi we can write as,
this is the flux which is passing through this section, we can write as e dot d s that
we already studied earlier. so this can be written as, e d s coz-theta. then we can say
directly, the total flux, through the surface m is, it can be given as phi, which is integration
of d phi and here we can write it, integration of e dot d s, or the same can be written as
integration of e d s coz-theta. this is the way, how we calculate the electric flux, through
a given surface in a non uniform electric field. and in actual situations, the limits
of integration will be applied as per the actual shape of this surface m.

6 Replies to “5. Physics | Electric Flux | Electric Flux in a Non-Uniform Electric Field | by Ashish Arora”

  1. how does the electric varies for this non uniform e.f. , ( in magnitude , in direction , both in magnitude and in direction ,or in intensity )

  2. sir since the surface is three dimensional, at every point the direction as well as magnitude of Electric Field vector varies. So how E.dS.cosϴ can be integrated….bcz in this expression E itself will vary from place to place…which cannot be calculated quantitatively.

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