Linear charge density of arc is lamda an...

Linear charge density of arc is `lamda` and total angle `alpha`. Derive an expression for potential at centre

`klamdaalpha`

`(klamdaalpha)/r`

`1/2klamdaalpha`

`klamdaalphar`

Text Solution

Verified by Experts

Topper's Solved these Questions

ELECTROSTATIC POTENTIAL AND CAPACITANCE
PATHFINDER|Exercise QUESTION BANK|50 Videos
MAGNETIC EFFECT OF CURRENT AND ELECTROMAGNETISM-I,II AND III
PATHFINDER|Exercise QUESTION BANK|213 Videos

Similar Questions

Explore conceptually related problems

The line charge density of a semicircular ring of radius R is lambda . Find electric field intensity at the centre of the ring. What is the total charge of an electric dipole?

Find the expression of potential energy of a charge conductor.

Derive an expression for Gravitational potential above the surface of the earth.

Draw a schematic sketch of a cyclotron. Explain clearly the role of crossed electric and magnetic fields in accelerating the charge. Hence derive the expression for the kinetic energy by the particles.

Four point charges each '+q' is placed on the circumference of a circle of diameter 2d in such a way that they form a square. The potential at the centre is

Using the concept of free electrons in a conductor, derive the expression for the conductivity of a wire in terms of number density and relaxation time. Hence obtain the relation between current density and the applied electric field E.

Statement I: The force with which one plate of a parallel plate capacitor is attracted towards the other plate is equal to square of surface charge density per in per unit area. Statement II: Total amount of charge resides on unit surface area is known as surface charge density.

The radius of a charged hollow metal sphere is 5 cm and its surface potential is 10V. Potential at its centre is

PATHFINDER-ELECTROSTATICS-I, II AND III-QUESTION BANK

A given charge is situated at a certain distance from an electric dipo...
Text Solution
|
The electric flux, leaving spherical surface of radius r and surroundi...
Text Solution
|
Linear charge density of arc is lamda and total angle alpha. Derive an...
Text Solution
|
A region consists of uniform electric field E and uniform gravity g pe...
Text Solution
|
Two (-ve) charge, each of magnitude q are situated at 2r distance apar...
Text Solution
|
A proton and an alpha-particle are situated at r distance apart. At ve...
Text Solution
|
A charge Q is distributed over two concentric hollow spheres of radius...
Text Solution
|
Two equal -ve charges -q are fixed at the points (0, a) and (0, -a) on...
Text Solution
|
Two particles of masses m and 2m with charges 2q and 2q are placed in ...
Text Solution
|
The work done required to put the four charges together at the comers ...
Text Solution
|
A charge Q is placed at each of the two opposite corners of a square, ...
Text Solution
|
A parallel plate capacitor is connected across a 2V battery and charge...
Text Solution
|
Three capacitors of capacitances 3muF,9muF and 18muF are connected onc...
Text Solution
|
A capacitor of capacitance 1muF withstands a maximum voltage of 6kV, w...
Text Solution
|
The effective capacitance between A and B in the figure shown is (all ...
Text Solution
|
Four capacitors with capacitances C1=1muF,C2=1.5muF,C3=2.5muF and C4 =...
Text Solution
|
Four identical capacitors are connected in series with a 10V battery a...
Text Solution
|
The capacities of three capacitors are in the ratio 1 : 2 : 3. Their e...
Text Solution
|
Between the plates of a parallel plate capacitor of capacity C, two pa...
Text Solution
|
There are two charges +1 microcoulombs and +5 microcoulombs. The ra...
Text Solution
|