HARD
JEE Main
IMPORTANT
Earn 100

A thin wire ring of radius r carries a charge q. Find the magnitude of the electric field strength on the axis of the ring, as a function of distance from its centre. Investigate the obtained function at l≫r. Find the maximum strength magnitude and the corresponding distance l. Draw the approximate plot of the function E(l).

Important Questions on ELECTRODYNAMICS

HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 3 - ELECTRODYNAMICS>CONSTANT ELECTRIC FIELD IN VACUUM>Q 3.10.
A point charge q is located at the centre of a thin ring of the radius R, with uniformly distributed charge -q. Find the magnitude of the electric field strength vector at the point lying on the axis of the ring, at a distance x from its centre, if x≫R.
HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 3 - ELECTRODYNAMICS>CONSTANT ELECTRIC FIELD IN VACUUM>Q 3.11.
A system consists of a thin charged wire ring of radius R, and a very long uniformly charged thread, oriented along the axis of the ring, with one of its ends coinciding with the centre of the ring. The total charge of the ring is equal to q. The charge of the thread (per unit length) is equal to λ. Find the interaction force between the ring and the thread.
HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 3 - ELECTRODYNAMICS>CONSTANT ELECTRIC FIELD IN VACUUM>Q 3.12.
A thin non-conducting ring of radius R has a linear charge density λ=λ0cosφ, where λ0 is a constant and φ is the azimuthal angle. Find the magnitude of the electric field strength
(a) at the centre of the ring;
(b) on the axis of the ring, as a function of the distance x from its centre. Investigate the obtained function at x≫R.
HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 3 - ELECTRODYNAMICS>CONSTANT ELECTRIC FIELD IN VACUUM>Q 3.13.

A thin straight rod of length 2a, carrying a uniformly distributed charge q, is located in vacuum. Find the magnitude of the electric field strength as a function of the distance r from the rod's centre along the straight line,
a perpendicular to the rod and passing through its centre;
b coinciding with the rod's direction (at the points lying outside the rod). Investigate the obtained expressions at r≫a.

HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 3 - ELECTRODYNAMICS>CONSTANT ELECTRIC FIELD IN VACUUM>Q 3.14.
A very long, straight, uniformly charged thread carries a charge λ per unit length. Find the magnitude and direction of the electric field strength at a point which is at a distance y from the thread and lies on the perpendicular passing through one of the thread's ends.
HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 3 - ELECTRODYNAMICS>CONSTANT ELECTRIC FIELD IN VACUUM>Q 3.15.

A thread carrying a uniform charge λ per unit length, has the configurations shown in the figures a and b. Assuming the curvature radius R to be considerably less than the length of the thread, find the magnitude of the electric field strength at the point O.

Question Image

HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 3 - ELECTRODYNAMICS>CONSTANT ELECTRIC FIELD IN VACUUM>Q 3.16.
A sphere of radius r carries a surface charge of density σ=a→·r→, where a→ is a constant vector andr→ is the radius vector of a point on the surface of the sphere, relative to its centre. Find the electric field strength vector at the centre of the sphere.
HARD
JEE Main
IMPORTANT
Problems in General Physics>Chapter 3 - ELECTRODYNAMICS>CONSTANT ELECTRIC FIELD IN VACUUM>Q 3.19.
A very long uniformly charged thread, oriented along the axis of a circle of radius R, rests on its centre with one of the ends. The charge of the thread per unit length is equal to λ. Find the flux of the vector E across the circle area.