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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.
Concept: Electric Flux
Figure shows three point charges +2q, −q and + 3q. Two charges + 2q and −q are enclosed within a surface ‘S’. What is the electric flux due to this configuration through the surface ‘S’?

Concept: Electric Flux
In which orientation, a dipole placed in a uniform electric field is in (i) stable, (ii) unstable equilibrium?
Concept: Electric Dipole
A thin conducting spherical shell of radius R has charge Q spread uniformly over its surface. Using Gauss’s law, derive an expression for an electric field at a point outside the shell.
Concept: Gauss’s Law
Draw a graph of electric field E(r) with distance r from the centre of the shell for 0 ≤ r ≤ ∞.
Concept: Gauss’s Law
Draw the pattern of electric field lines, when a point charge –Q is kept near an uncharged conducting plate.
Concept: Electric Field >> Electric Lines of Force
State Gauss’s law for magnetism. Explain its significance.
Concept: Gauss’s Law
Answer the following question.
Draw the pattern of electric field lines when a point charge +q is kept near an uncharged conducting plate.
Concept: Electric Field >> Electric Lines of Force
Answer the following question.
Derive an expression for the electric field due to a dipole of dipole moment `vec"p"` at a point on its perpendicular bisector.
Concept: Electric Field >> Electric Lines of Force
Answer the following question.
State Gauss's law for magnetism. Explain its significance.
Concept: Gauss’s Law
Deduce the expression for the torque `vec"τ"` acting on a planar loop of area `vec"A"` acting on a planar loop of area `vec"B"`. If the loop is free to rotate, what would be its orientation in stable equilibrium?
Concept: Dipole in a Uniform External Field
State Gauss's law in electrostatics. Show, with the help of a suitable example along with the figure, that the outward flux due to a point charge 'q'. in vacuum within a closed surface, is independent of its size or shape and is given by `q/ε_0`
Concept: Gauss’s Law
State Gauss’s law on electrostatics and drive expression for the electric field due to a long straight thin uniformly charged wire (linear charge density λ) at a point lying at a distance r from the wire.
Concept: Gauss’s Law
An electric dipole is placed at an angle of 30° with an electric field intensity of 2 × 105 N/C. It experiences a torque equal to 4 Nm. The charge on the dipole, if the dipole length is 2 cm, is ______.
Concept: Electric Dipole
According to Coulomb's law, which is the correct relation for the following figure?

Concept: Coulomb’s Law >> Scalar Form of Coulomb’s Law
Which of the following statements about nuclear forces is not true?
Concept: Coulomb’s Law >> Scalar Form of Coulomb’s Law
The electric potential V as a function of distance X is shown in the figure.
The graph of the magnitude of electric field intensity E as a function of X is ______.
Concept: Electric Dipole
- 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.
Concept: Applications of Gauss' Theorem
Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitude 17.7 × 10–22 C/m2. What is electric field intensity E:
- in the outer region of the first plate, and
- between the plates?
Concept: Continuous Charge Distribution
An isolated point charge particle produces an electric field `vecE` at a point 3 m away from it. The distance of the point at which the field is `vecE/4` will be ______.
Concept: Electric Field >> Electric Field Intensity Due to a Point-Charge
