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If the Flux of the Electric Field Through a Closed Surface is Zero,

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प्रश्न

If the flux of the electric field through a closed surface is zero,

(a) the electric field must be zero everywhere on the surface
(b) the electric field may be zero everywhere on the surface
(c) the charge inside the surface must be zero
(d) the charge in the vicinity of the surface must be zero

संक्षेप में उत्तर
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उत्तर

(b) the electric field may be zero everywhere on the surface
(c) the charge inside the surface must be zero
As the flux is zero through the surface, the charge enclosed must be zero. But the electric field is not necessarily zero everywhere on the surface. For example, in the case of a dipole enclosed by the surface, the electric field through the surface is not zero but has some value. So, the correct answers are (b) and (c).

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अध्याय 30: Gauss’s Law - MCQ [पृष्ठ १४०]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 30 Gauss’s Law
MCQ | Q 4 | पृष्ठ १४०

संबंधित प्रश्न

Consider two hollow concentric spheres, S1 and S2, enclosing charges 2Q and 4Q respectively as shown in the figure. (i) Find out the ratio of the electric flux through them. (ii) How will the electric flux through the sphere S1 change if a medium of dielectric constant 'εr' is introduced in the space inside S1 in place of air ? Deduce the necessary expression


Consider a uniform electric field E = 3 × 103 `hat i` N/C.

  1. What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane?
  2. What is the flux through the same square if the normal to its plane makes a 60° angle with the x-axis?

What is the net flux of the uniform electric field of previous question through a cube of side 20 cm oriented so that its faces are parallel to the coordinate planes?


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.

  1. What is the net charge inside the box?
  2. 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 filed \[\vec{E} = 4 \times {10}^3 \ \hat{i} N/C\]. Find the flux of this field through a square of 5 cm on a side whose plane is parallel to the Y-Z plane. What would be the flux through the same square if the plane makes a 30° angle 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.


Electric charges are distributed in a small volume. The flux of the electric field through a spherical surface of radius 10 cm surrounding the total charge is 25 V m. The flux over a concentric sphere of radius 20 cm will be _____________ .


Positive electric flux indicates that electric lines of force are directed ______.

Total electric flux coming out of a unit positive charge kept in air is ______.


A point charge q is placed at a distance a/2 directly above the centre of a square of side a. The electric flux through the square is ______.


A charge Qµc is placed at the centre of a cube the flux coming from any surface will be.


A circular disc of radius 'r' is placed along the plane of paper. A uniform electric field `vec"E"` is also present in the plane of paper. What amount of electric flux is associated with it?


A hollow sphere of radius R has a point charge Q at its centre. Electric flux emanating from it is `phi`. If both the charge and the radius of the sphere are doubled, electric flux emanating from the sphere will ______.


A hollow cylinder has a charge of 'q' C within it. If 𝜙 is the electric flux associated with the curved surface B, the flux linked with the plane surface A will be ______.


Electric flux through a surface is defined as which of the following?


The formula for electric flux when the electric field is uniform is expressed as which of the following?


For an open surface, which statement correctly describes the area vector convention?


For a surface inclined at an angle such that 0° < θ < 90°, which statement correctly describes the flux?


Electric flux is a scalar quantity, but its value can be positive, negative, or zero. What does this depend on?


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