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प्रश्न
Define electric flux.
Define electric flux. Is it a scalar or a vector quantity?
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उत्तर १
Electric flux is the total number of lines of force passing through the unit area of a surface held perpendicularly.
Electric flux ΔΦ through an area element ΔS is given by
ΔΦ = E.ΔS = EΔScosθ
θ is the angle between E and ΔS.
उत्तर २
Electric flux is defined as the number of electric field lines crossing the per unit area. It is given as
`triangle phi = vecE.vec(triangleS) cos theta`
where `vecE` is Electric field and `vec(triangleS)`is area vector. The angle θ here is the angle between `vecE` and `vec(triangle S)`.
Since Electric flux is the dot product of two vectors, Hence it is a Scalar quantity.
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संबंधित प्रश्न
Consider a uniform electric field E = 3 × 103 `hat i` N/C.
- What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane?
- What is the flux through the same square if the normal to its plane makes a 60° angle with the x-axis?
Careful measurement of the electric field at the surface of a black box indicates that the net outward flux through the surface of the box is 8.0 × 103 N m2/C.
- What is the net charge inside the box?
- If the net outward flux through the surface of the box were zero, could you conclude that there were no charges inside the box? Why or Why not?
Given a uniform electric field \[\vec{E} = 2 \times {10}^3 \ \hat{i}\] N/C, find the flux of this field through a square of side 20 cm, whose plane is parallel to the y−z plane. What would be the flux through the same square, if the plane makes an angle of 30° with the x−axis ?
A thin straight infinitely long conducting wire having charge density λ is enclosed by a cylindrical surface of radius r and length l, its axis coinciding with the length of the wire. Find the expression for the electric flux through the surface of the cylinder.
It is said that any charge given to a conductor comes to its surface. Should all the protons come to the surface? Should all the electrons come to the surface? Should all the free electrons come to the surface?
Mark the correct options:
A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by ______.
The electric field intensity due to an infinite cylinder of radius R and having charge q per unit length at a distance rir r(r > R) from its axis is ______.
The electric field in a region is given by `bar"E" = 4hat"i" + 10hat"j"` N/C. The flux of this field through a square of 10 cm on a side whose plane is parallel to the XZ plane.
An electric charge q is placed at the center of a cube of side ℓ. The electric flux on one of its faces will be ______.
