Advertisements
Advertisements
Question
A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80.0 μC/m2.
- Find the charge on the sphere.
- What is the total electric flux leaving the surface of the sphere?
Advertisements
Solution
R = `2.4/2 "m"` = 1.2 m,
σ = 80.0 μ /c m-2
= 80 × 10-6 C m-2
- As σ = `q/(4pi"R"^2)`
so, q = 4πR2 × σ
= 4 × 3.14 ×(1.22) × 80 ×10-6
or q = 1.45 × 10-3 C - Φ = `q/ε_0`
= `(1.45 xx 10^-3)/(8.85 xx 10^-12)`
= 1.64 × 108 N m2 C-1
APPEARS IN
RELATED QUESTIONS
How does the electric flux due to a point charge enclosed by a spherical Gaussian surface get affected when its radius is increased?
"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.
What is the electric flux through a cube of side 1 cm which encloses an electric dipole?
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
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.
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:
The electric flux through a closed Gaussian surface depends upon ______.
The electric field in a region is given by `vec"E"` = 5 `hatk`N/C. Calculate the electric flux Through a square of side 10.0 cm in the following cases
- The square is along the XY plane
- The square is along XZ plane
- The normal to the square makes an angle of 45° with the Z axis.
A uniform electric field of intensity 400 N/C, exists in a certain region. How much flux will cross a given area of 10 cm2 in this region, if the area vector is inclined at 60° to the direction of the field?
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 ______.
Total electric flux coming out of a unit positive charge kept in air is ______.
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 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 ______.
