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Two charges of magnitudes +4Q and − Q are located at points (a, 0) and (− 3a, 0) respectively. What is the electric flux due to these charges through a sphere of radius ‘2a’ with its centre at the origin?
Concept: Electric Flux
Define electric dipole moment.
Concept: Electric Dipole
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
State Gauss’s law for magnetism. Explain its significance.
Concept: Gauss’s Law
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
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
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 electric dipole of dipole moment 2 × 10-8 C-m in a uniform electric field experiences a maximum torque of 6 × 10-4 N-m. The magnitude of the electric field is ______.
Concept: Dipole in a Uniform External Field
A charge Q is placed at the centre of a cube. The electric flux through one of its faces is ______.
Concept: Gauss’s Law
Define an equipotential surface.
Concept: Equipotential Surfaces
When an AC source is connected to an ideal capacitor, show that the average power supplied by the source over a complete cycle is zero
Concept: Capacitors and Capacitance
A bulb is connected in series with a variable capacitor and an AC source as shown. What happens to the brightness of the bulb when the key is plugged in and capacitance of the capacitor is gradually reduced?
Concept: Capacitors and Capacitance
