The area vector is not perpendicular to the electric field, it is perpendicular to the surface on which the area lies.
Why is area vector perpendicular?
The perfect direction is the perpendicular direction to view the circle, square etc. Thus the perpendicular direction is assigned as the direction of area. The height is proportional to the magnitude of the area. Greater the circular area greater is the height of the perpendicular.
What is the angle between area vector and electric field?
If the electric field is uniform, the electric flux passing through a surface of vector area S is ΦE=E⋅S=EScosθ Φ E = E ⋅ S = ES cos where E is the magnitude of the electric field (having units of V/m), S is the area of the surface, and θ is the angle between the electric field lines and the normal ( perpendicular ) …
What is the electric flux when area vector is perpendicular to electric field?
Along the other four sides, the direction of the area vector is perpendicular to the direction of the electric field. Therefore, the scalar product of the electric field with the area vector is zero, giving zero flux.
What is the direction of area vector?
By convention, for a flat lamina or a plane surface, the area vector is a vector whose magnitude is the area of the surface and whose direction points in a direction perpendicular to the surface.
Can a vector represents an area?
area is NOT a vector. But it can be “represented” by one. If you are dealing with planar regions in three dimensions, then it can be convenient to represent the “area” as a vector whose length is the actual scalar area and whose direction is perpendicular to the plane.
Is electric flux a vector quantity?
It is a dot product of electric field vector (vector E) and area vector (vector ds). As it is a dot product. So, electric flux is a scalar quantity.
What is SI unit of electric field?
In the metre-kilogram-second and SI systems, the appropriate units are newtons per coulomb, equivalent to volts per metre. In the centimetre-gram-second system, the electric field is expressed in units of dynes per electrostatic unit (esu), equivalent to statvolts per centimetre.
How is electric flux calculated?
The total of the electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity. The electric flux through an area is defined as the electric field multiplied by the area of the surface projected in a plane perpendicular to the field.
Is electric flux always perpendicular?
Yes, electric flux is zero when an electric field is perpendicular but not at a surface. It is zero when it is perpendicular to the area vector as E.S=EScos(90)=0.
Can you have negative flux?
The negative flux just equals in magnitude the positive flux, so that the net, or total, electric flux is zero. If a net charge is contained inside a closed surface, the total flux through the surface is proportional to the enclosed charge, positive if it is positive, negative if it is negative.
What is the maximum value of electric flux?
According to the pic. Now if E is perpendicular to the surface then two vector will be parallel so angle between them will be zero and cos 0 =1 so the flux will be maximum. Electric flux is zero if Electric field is parrallel to a surface and is maximum .