Home
Class 12
PHYSICS
A nonconducting disk of radius a and uni...

A nonconducting disk of radius a and uniform positive surface charge density `sigma` is placed on the ground, with its axis vertical. A particle of mass m and positive charge q is dropped, along the axis of the disk, from a height H with zero initial velocity. The particle has `q//m = 4 epsilon_(0) g// sigma`.
(i) Find the value of H if the particle just reaches the disk.
(ii) Sketch the potential energy of the particle as a function of its height and find its equilibrium position.

Text Solution

Verified by Experts

(a) `(4)/(3)a` (b)
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTANTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL - I|24 Videos
  • ELECTROSTANTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL - II|13 Videos
  • ELECTROSTANTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) FILL IN THE BLANKS|4 Videos
  • ELECTROMAGNETIC WAVE & WAVE OPTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS Objective : Level-II (MULTI CHOICE SINGLE CORRECT)|21 Videos
  • ELECTROSTATICS

    FIITJEE|Exercise Example|14 Videos

Similar Questions

Explore conceptually related problems

A uniformly charged disc of radius R having surface charge density sigma is placed in the xy plane with its center at the origin. Find the electric field intensity along the z-axis at a distance Z from origin :

Charged Disk

A circular ring of radius R with uniform positive charge density lambda per unit length is located in the y-z plane with its centre at the origin O. A particle of mass m and positive charge q is projected from the point P (Rsqrt3, 0, 0) on the positive x-axis directly towards O, with an initial speed v. Find the smallest (non-zero) value of the speed v such that the particle does not return to P.

A uniform cube of mass m and edge a moves on a horizontal surface along the positive x-axis, with initial velocity v_(0) . Then

A smooth chute is made in a dielectric sphere of radius R and uniform volume charge density. rho . A charge particle of mass m and charge -q is placed at the centre of the sphere. Find the time period of motion of the particle?

A long solenoid carrying a current I is placed with its axis vertical as shown in the figure. A particle of mass m and charge q is released from the top of the solenoid. Its acceleration is (g being acceleration due to gravity)

An infinte wire having linear charge density lambda is arranged as shown in fig. A charge particle of mass m and charge q is released charged q is released from point P. Find the initial acceleration of the particle just after the particle is released.

A circular ring of radius R with uniform positive charge density lambda per unit length is located in the y z plane with its center at the origin O. A particle of mass m and positive charge q is projected from that point p( - sqrt(3) R, 0,0) on the negative x - axis directly toward O, with initial speed V. Find the smallest (nonzero) value of the speed such that the particle does not return to P ?

A thin circular disk of radius R is uniformly charged with density sigma gt 0 per unit area.The disk rotates about its axis with a uniform angular speed omega .The magnetic moment of the disk is :