Home
Class 12
PHYSICS
A solid sphere of radius 'R' has a cavit...

A solid sphere of radius 'R' has a cavity of radius `(R)/(2)`. The solid part has a uniform charge density `'rho'` and cavity has no charge. Find the electric potential at point 'A'. Also find the electric field (only magnetude) at point 'C' inside the cavity

Text Solution

Verified by Experts

The correct Answer is:
`V_(A)=(5 rhoR^(2))/(12 epsilon_(0)),E_(C)=(rhoR)/(6 epsilon_(0))`
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS ENGLISH|Exercise DPP 3.4|15 Videos

  • ELECTRIC FLUX AND GAUSS LAW

    CENGAGE PHYSICS ENGLISH|Exercise MCQ s|38 Videos

  • ELECTRICAL MEASURING INSTRUMENTS

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

Similar Questions

Explore conceptually related problems

A non-conducting sphere of radius R has a spherical cavity of radius R//2 as shown. The solid part of the sphere has a uniform volume charge density rho . Find the magnitude and direction of electric field at point (a) O and (b) A.

The quarter disc of radius R (see figure) has a uniform surface charge density sigma . (a) Find electric potential at a point (O,O,Z) (b). Find the Z component of electrif field at (O,O,Z)

A uniform solid sphere of radius R has a cavity of radius 1m cut from it if centre of mass of the system lies at the periphery of the cavity then

A uniform solid sphere of radius R has a cavity of radius 1m cut from it if centre of mass of the system lies at the periphery of the cavity then

A sphere of radius R has a uniform volume density rho . A spherical cavity of radius b, whose center lies at veca , is removed from the sphere. i. Find the electric field at any point inside the spherical cavity. ii. Find the electric field outside the cavity (a) at points inside the large sphere but outside the cavity and (b) at points outside the large sphere.

An insulating solid sphere of radius R has a uniformly positive charge density rho . As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinity is zero. Statement-1: When a charge 'q' is taken from the centre to the surface of the sphere, its potential energy changes by (qrho)/(3 in_(0)) Statement-2 : The electric field at a distance r (r lt R) from the centre of the the sphere is (rho r)/(3in_(0))

A solid sphere having radius R and uniform charge density rho has a cavity of radius R/2 as shown in figure.Find the value of |E_A /E_B|

A solid sphere of radius R has a spherical cavity of radius r as shown in the figure. If the volume charge density sigma is uniformly distributed over the whole volume of the sphere, then electric field strength at the centre of the sphere will be

A solid spherical region, having a spherical cavity whose diameter R is equal to the radius of the spherical region, has a total charge Q. Find the electric field at a point P as shown in figure .

A conductor with a cavity is charged positively and its surface charge density is sigma . If E and V represent the electric field and potential, then inside the cavity