Advertisements
Advertisements
प्रश्न
State Gauss’ Law.
Answer the following question briefly and to the point:
State Gauss’ theorem.
Advertisements
उत्तर १
The electric flux (ΦE) through any closed surface is equal to `1/in_0` times the ‘net’ change q enclosed by the surface.
ΦE = `oint vec E d vec A`
= `q/in_0`
∈0 = Permittivity of free space.
उत्तर २
Gauss’ theorem states that the net electric flux over a closed surface is `1/epsilon_0` times the net electric charge enclosed by the surface.
Φ = `oint vec E * d vec A`
= `q/epsilon_0`
संबंधित प्रश्न
A point charge of 2.0 μC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
Electric intensity outside a charged cylinder having the charge per unit length 'λ' at a distance from its axis is ________.
(a) E = `(2pi in_0 lambda)/(Kr^2)`
(b) E = `(in_0 lambda)/(2piKr^2)`
(c) E = `lambda/(2piin_0Kr)`
(d) E = `(4piin_0lambda)/(Kr^2)`
A point charge q is at a distance of d/2 directly above the centre of a square of side d, as shown the figure. Use Gauss' law to obtain the expression for the electric flux through the square.
Use Gauss' law to derive the expression for the electric field `(vecE)` due to a straight uniformly charged infinite line of charge density λ C/m.
Draw a graph to show the variation of E with perpendicular distance r from the line of charge.
Find the work done in bringing a charge q from perpendicular distance r1 to r2 (r2 > r1)
A closed surface in vacuum encloses charges –q and +3q. The total electric flux emerging out of the surface is :
Which statement is true for Gauss law -
Consider a sphere of radius R with charge density distributed as
ρ(r) = kr for r ≤ R
= 0 for r > R
- Find the electric field at all points r.
- Suppose the total charge on the sphere is 2e where e is the electron charge. Where can two protons be embedded such that the force on each of them is zero. Assume that the introduction of the proton does not alter the negative charge distribution.
- Obtain the expression for the electric field intensity due to a uniformly charged spherical shell of radius R at a point distant r from the centre of the shell outside it.
- Draw a graph showing the variation of electric field intensity E with r, for r > R and r < R.
