Advertisements
Advertisements
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
Advertisements
उत्तर
(i) Charge enclosed by sphere S1 = 2Q
By Gauss law, electric flux through sphere S1 is
`phi_1=(2Q)/in_0`
Charge enclosed by sphere S2 = 2Q+4Q=6Q
`:.phi_2=(6Q)/in_0`
The ratio of the electric flux is
`phi_1/phi_2=((2Q)/in_0)/((6Q)/in_0)=2/6=1/3`
(ii) For sphere S1, the electric flux is
`phi'=(2q)/in_r`
`:.(phi')/phi_1=in_0/in_r`
`=>phi'=phi_1.in_0/in_r`
∵ εr > ε0
`:.phi'
Therefore, the electric flux through the sphere S1 decreases with the introduction of the dielectric inside it.
APPEARS IN
संबंधित प्रश्न
Define electric flux.
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?
A small plane area is rotated in an electric field. In which orientation of the area, is the flux of the electric field through the area maximum? In which orientation is it zero?
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?
The following figure shows a closed surface that intersects a conducting sphere. If a positive charge is placed at point P, the flux of the electric field through the closed surface
If the electric flux entering and leaving an enclosed surface respectively is Φ1 and Φ2, the electric charge inside the surface will be
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 ______.
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.
