Home
Class 12
PHYSICS
Two charged metallic spheres of radiir(1...

Two charged metallic spheres of radii`r_(1)` and `r_(2)` are touched and separated. Calculated the ration of their
(i) Charges
(ii) Potential
(ii) Self energy
(iv) Electric field at the surface
(v) Surface cahrge density

Text Solution

AI Generated Solution

To solve the problem step by step, we will calculate the ratios of charges, potentials, self-energies, electric fields at the surface, and surface charge densities of two charged metallic spheres with radii \( r_1 \) and \( r_2 \). ### Step 1: Ratio of Charges When the two metallic spheres are touched, they will share their charges until their potentials are equal. The potential \( V \) of a charged sphere is given by: \[ V = \frac{k \cdot Q}{R} \] ...
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-A) Objective Type Questions (Only one answer)|53 Videos
  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-B (OBJECTIVE TYPE QUESTIONS (ONLY ONE ANSWER) )|1 Videos
  • ELECTROMAGNETIC WAVES

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - D Assertion-Reason Type Questions|25 Videos
  • GRAVITATION

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - D (ASSERTION-REASON TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

Two charged spheres of radii R_(1) and R_(2) having equal surface charge density. The ratio of their potential is

Two spheres of radii R_(1) and R_(1) respectively are charged and joined by wire. The ratio of electric field of spheres is

Two conducting spheres of radii R_(1) and R_(2) are at the same potential. The electric intensities on their surfaces are in the ratio of

Two isolated metallic spheres of radii 2 cm and 4 cm are given equal charge, then the ratio of charge density on the surfaces of the spheres will be

Two isolated charged conducting spheres of radii a and b produce the same electric field near their surface. The ratio of electric potentials on their surfaces is

n charged drops, each of radius r and charge q , coalesce to from a big drop of radius R and charge Q . If V is the electric potential and E is the electric field at the surface of a drop, then.

The magnitude of the electric field on the surface of a sphere of radius r having a uniform surface charge density sigma is

(i) Two isolated metal spheres A and B have radii R and 2R respectively and same charge q. Find which of the two spheres have (a) greater capacitance (b) greater energy density just outside the surface of the spheres. (ii) (a) Show that the equipotential surfaces are closed together in the regions of strong field and far apart in the region of weak field. Draw equipotential surfaces for an electric dipole. (b) Concentric equipotential surfaces due to a charged body placed at the centre are shown. Identify the polarity of the charge and draw the electric field lines due to it.

Inside a conducting hollow sphere of inner radius R_(1) and outer radius R_(2) , a point charge q is placed at a distance x from the center as shown in fig. Find. . (i) electric potential at C (ii) electric field and potential at a distance r from the center outside the shell.

Two metal spheres ("radii" r_1, r_2 "with" r_1 lt r_2) are very far apart but are connected by a thin wire. If their combined charges is Q, then what is their common potential ?