Home
Class 12
PHYSICS
A small metal sphere carrying charge +Q ...

A small metal sphere carrying charge +Q is located at the centre of a spherical cavity inside a large uncharged metallic spherical shell as shown in the figure. Use Gauss’s law to find the expressions for the electric field at points `p_(1)` and `p_(2)` . Also draw the pattern of electric field lines in this arrangement.

Text Solution

Verified by Experts

Using gauss theorem `E times 4pi r_1^2=Q/e_0, E=1/(4 pi e_0) Q/r_1^2`
Field at `P_2=0`, because the electric field inside the conductor is zero. The electric field lines due to the arrangement is as shown below
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    VMC MODULES ENGLISH|Exercise LEVEL - 1|105 Videos

  • ELECTROSTATICS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|60 Videos

  • ELECTROSTATICS

    VMC MODULES ENGLISH|Exercise LEVEL - 0 (SHORT ANSWER TYPE )|27 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATIVE CURRENT

    VMC MODULES ENGLISH|Exercise IMPECCABLE|52 Videos

  • ENERGY & MOMENTUM

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE) - TRUE/FALSE TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Consider a uniformly charged hemispherical shell shown in figure. Indicate the directions (not magnitude) of the electric field at the central point P_1 and an off-center point P_2 on the drum-head of the shell.

A charge Q is placed at the centre of an inaginary hemispherical surface. Using symmetry arguments and the Gauss's law, find the flux of the electric field due to this charge through the surface of the hemisphere (figure ).

A uniformly charged non-conducting spherical shell is given +q charge and a point charge -q is placed as shown. The electric field lines will be

Figure shows a point charge of 0.5 xx 10^(-6) C at the center of the spherical cavity of radius 3 cm of a piece of metal. The electric field at

A thin metallic spherical shell carries a charge Q on it. A point charge Q_(1) is placed at the centre of the shell and another charge q is placed outside as shown in figure ahead. All the charges are positive . Discuss the various forces acting on Q_(1) .

The figure shown is a plot of electric field lines due to two charges Q_(1) and Q_(2) . The sign of charges is

A point charge Q is placed at the centre of a spherical conducting shell. A total charge of -q is placed on the shell. The magnitude of the electric field at point P_1 at a distance R_1 from the centre is X. The magnitude of the electric field due to induced charges at point P_2 a distance R_2 from the centre is Y. The values of X and Y are respectively.

In the adjoining figure, the electric field lines for charges q_1 and q_2 are shown. Identify the sign of the charges.

Draw the pattern of electric field lines, when a point charge -Q is kept near an uncharged conducting plate.

Two spherical shells are as shown in figure. Suppose r is the distance of a point from their common centre. Then, electric field and electrical potential by both shells