Home
Class 12
PHYSICS
A very small sphere of mass 80 g having ...

A very small sphere of mass `80 g` having a charge q is held at a height of `9 m` vertically above the center of a fixed conducting sphere of radius `1 m`, carrying an equal charge q. When released, it falls until it is repelled back just before it comes in contact with the shpere as shown in Fig. 47. Calculate the charge `q. [g = 10 ms^-2]`.

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the forces acting on the small sphere and use the concept of energy conservation. We will calculate the charge \( q \) on the small sphere. ### Step 1: Understand the Forces Acting on the Sphere When the small sphere is released, it experiences two forces: 1. Gravitational force acting downward, \( F_g = mg \) 2. Electrostatic force due to the repulsion from the conducting sphere. ### Step 2: Calculate the Gravitational Force ...
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS|Exercise Examples|9 Videos
  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS|Exercise Exercise 3.1|23 Videos
  • ELECTRIC FLUX AND GAUSS LAW

    CENGAGE PHYSICS|Exercise MCQ s|38 Videos
  • ELECTRICAL MEASURING INSTRUMENTS

    CENGAGE PHYSICS|Exercise M.C.Q|2 Videos

Similar Questions

Explore conceptually related problems

Calculate amount of charge flow, when a conducting sphere of radius R and carrying a charge Q, is joined to an uncharged conducting sphere of radius 2R.

An isolated conduction sphere sphere whose radius R=1 m has a charge q=1/9nC. The energy density at the surfasce of the sphere is

If a small sphere of mass m and charge q is hung from a silk thread at an angle theta with the surface of a vertical charged conducting plate, then for equilibrium of sphere, the surface charge density of the plate is

A drop of water of mass m falls away from the bottom of charged conducting sphere of radius R, carrying with it a charge q_(1) and leaving the sphere a uniformly distributed charge q_(2) . The kinetic energy of the drop after it has fallen height h is -

A particle of mass 2 g and charge 1 muC is held at rest on a frictionless surface at a distance of 1m from a fixed charge of 1 mC. If the particle is released it will be repelled. The speed of the particle when it is at distance of 10 m from fixed charge is :

Two identical charges repel each other with a force equal to 1mg wt when they are 0.6m apart in air.The value of each charge is ( g=10ms^(-2) )

A small conducting sphere of radius a, carrying a charge +Q , is placed inside an equal and oppositely charged conducting shell of radius b such that their centers coincide. Determine the potential at a point which is at a distance c from center such that a lt c lt b .

Two particles having positive charge +Q and +2Q are fixed at equal distance x from centre of a conducting sphere having zero net charge and radius r as shown . Initially the switch S is open. After the switch S is closed, the net charge flowing out of sphere is (P-5)Qr/x find P.