Advertisements
Advertisements
प्रश्न
A charge q is placed at the centre of the open end of a cylindrical vessel (see the figure). The flux of the electric field through the surface of the vessel is ____________ .
पर्याय
zero
q/εv
q/2εv
2q/εv
Advertisements
उत्तर
q/2ε0
According to Gauss's Law, the flux through a closed cylindrical Gaussian surface is q/ε0. But the question is about an open cylindrical vessel. Now, take another identical vessel and make a closed Gaussian surface enclosing the charge, as shown in the following figure.
Total flux linked with the closed Gaussian surface,
Ø T =`q/ε_0`
Flux linked with the surface of a open ended cylindrical vessel,
Ø = `(Ø"T")/2 = q/(2ε_0)`
APPEARS IN
संबंधित प्रश्न
How does the electric flux due to a point charge enclosed by a spherical Gaussian surface get affected when its radius is increased?
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.
What is the electric flux through a cube of side 1 cm which encloses an electric dipole?
Given a uniform electric field `vecE=5xx10^3hati`N/C, find the flux of this field through a square of 10 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 ?
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
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?
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 _____________ .
A charge 'Q' µC is placed at the centre of a cube. The flux through one face and two opposite faces of the cube is respectively ______.
An electric charge q is placed at the centre of a cube of side a. The electric flux on one of its faces will be ______.
A charge Qµc is placed at the centre of a cube the flux coming from any 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 ______.
The 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 20 V-m. The flux over a concentric sphere of radius 20 cm will be ______.
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 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 charge q is replaced by an electric dipole?
For a general surface, electric flux is calculated using which integral expression?
In the electric flux formula \[\Phi = EA \cos \theta\], what does θ represent?
For an open surface, which statement correctly describes the area vector convention?
For a closed surface, which convention must be followed when assigning the area vector?
When the surface is parallel to the electric field lines, what is the resulting electric flux?
What does negative electric flux indicate?
