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प्रश्न
"The outward electric flux due to charge +Q is independent of the shape and size of the surface which encloses is." Give two reasons to justify this statement.
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उत्तर
The outward electric flux due to the charge enclosed inside a surface is the number of electric field lines coming out of the surface.
The outward electric flux due to charge +Q is independent of the shape and size of the surface, which encloses it because of the following reasons:
(i) Number of electric field lines coming out from a closed surface enclosing the charge depends on the charge enclosed by the surface, which remains constant with shape and size of the conductor.
(ii) Number of electric field lines coming out from a closed surface enclosing the charge is independent of the position of the charge inside the closed surface.
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संबंधित प्रश्न
Find out the outward flux to a point charge +q placed at the centre of a cube of side ‘a’. Why is it found to be independent of the size and shape of the surface enclosing it? Explain.
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?
Two charges of magnitudes −3Q and + 2Q are located at points (a, 0) and (4a, 0) respectively. What is the electric flux due to these charges through a sphere of radius ‘5a’ with its centre at the origin?
The SI unit of electric flux 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 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?
What will be the total flux through the faces of the cube (figure) with side of length a if a charge q is placed at
- A: a corner of the cube.
- B: mid-point of an edge of the cube.
- C: centre of a face of the cube.
- D: mid-point of B and C.
A hollow sphere of radius R has a point charge q at its centre. Electric flux emanating from the sphere is X. How will the electric flux change, if at all, when radius of the sphere is doubled?
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 ______.
