IIT JEE , AIEEE Forum - Physics , Electricity

jaysunantony

Hello All,

What is the direction of area vector ???...............

What is the concept behind Area vector ????......

Why we consider it as a vector??............

ramyani

The area vector is perpendicular to the area plane itself.

him26.89

area vector is

to the plane containing the vectors as it is cross product.

e.g. for two vectors a & b

area vectr is a cross b.

it has both magnitude & dir. prepend. to plane (outwards) so it's vector.

jaysunantony

But...............let me say..............

Now a plane is given...........

the area vector is the normal to the plane............but we can draw two normals...

isn't it ???....

one upward and one downward.........which should we consider...???....

Can anyone explain it with an illustration.........?

Mr.IITIAN007

Hey Jayson !
Area vector is simply the vector form of an area when it is multiplied by unit vector by uplifting it perpendicular to the body.
A = | A | n
(note: there is an arrow over the L.H.S's A and n has a cap over itself )

Mr.IITIAN007

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him26.89

well,

it depends on the cross product of those vectors.

e.g.

vectors a & b are i &j resp.

if we move from a to b (anticlockwise sense)

i.e. a cross b = k = dirn of area vector

sucess_seeker

jaysun area vector is always perpendicular to the plane and away from the interior. That is the reason we consider the outward normal as the direction.

Yatin

I think mr iitian has given the basic concept behind area vector.In other words area vector is always perpendicular to the plane.

striker

In geometry, for a finite planar surface of scalar area s, the vector area
s

is defined as a vector whose magnitude is S and whose direction is perpendicular to the plane, as determined by the right hand grip rule on the rim.
S=ns

This can only be defined for flat surfaces, or for regions of curved surfaces which are sufficiently small that they can be considered flat.

The concept of an area vector simplifies the equation for determining the flux through the surface. Consider a planar surface in a uniform field. The flux can be written as the dot product of the field and area vector. This is much simpler than multiplying the field strength by the surface area and the cosine of the angle between the field and the surface normal.

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