Aspherical shell with an inner radius 'a' and an outer radius 'b' is made of c

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2. Electric Potential and Capacitance

hard

Aspherical shell with an inner radius $'a'$ and an outer radius $'b' $ is made of conducting material. A point charge $+Q$ is placed at the centre of the spherical shell and a total charge $- q $ is placed on the shell.

Charge $- q $ is distributed on the surfaces as

$- Q$ on the inner surface, $- q$ on outer surface

$- Q$ on the inner surface, $- q + Q$ on the outer surface

$+Q$ on the inner surface, $-q - Q$ on the outer surface

The charge $-q$ is spread uniformly between the inner and outer surface.

Solution

The presence of charge $Q$ at the center of the spherical shell induces a equal and opposite charge on the inner surface of the shell, i.e., $-Q$ at the inner surface. This $-Q$ charge will induce a equal and opposite charge on the outer surface of the shell, i.e., $Q$. Also charge $-q$ is placed on the shell. Therefore total charge on the outer surface is $-q+Q$

Standard 12

Physics

Assertion : In a cavity within a conductor, the electric field is zero.

Reason : Charges in a conductor reside only at its surface

easy

(AIIMS-2007)

Two uniformly charged spherical conductors $A$ and $B$ of radii $5 mm$ and $10 mm$ are separated by a distance of $2 cm$. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitudes of the electric fields at the surface of the sphere $A$ and $B$ will be .

medium

(JEE MAIN-2022)

A thin metallic spherical shell contains a charge $Q$ on it. A point charge $+q$ is placed at the centre of the shell and another charge $q'$ is placed outside it as shown in fig. All the three charges are positive. The force on the central charge due to the shell is :-

medium

An empty thick conducting shell of inner radius $a$ and outer radius $b$ is shown in figure.If it is observed that the inner face of the shell carries a uniform charge density $-\sigma$ and the surface carries a uniform charge density $ '\sigma '$

If the inner surface of the shell is earthed, then identify the correct statement(s)

hard

A hollow metal sphere of radius $5\,\, cm$ is charged so that the potential on its surface is $10\,\, V$. The potential at the centre of the sphere is…..$V$

easy

Aspherical shell with an inner radius $'a'$ and an outer radius $'b' $ is made of conducting material. A point charge $+Q$ is placed at the centre of the spherical shell and a total charge $- q $ is placed on the shell. Charge $- q $ is distributed on the surfaces as

Solution

Similar Questions

Assertion : In a cavity within a conductor, the electric field is zero. Reason : Charges in a conductor reside only at its surface

A thin metallic spherical shell contains a charge $Q$ on it. A point charge $+q$ is placed at the centre of the shell and another charge $q'$ is placed outside it as shown in fig. All the three charges are positive. The force on the central charge due to the shell is :-

A hollow metal sphere of radius $5\,\, cm$ is charged so that the potential on its surface is $10\,\, V$. The potential at the centre of the sphere is…..$V$

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Aspherical shell with an inner radius $'a'$ and an outer radius $'b' $ is made of conducting material. A point charge $+Q$ is placed at the centre of the spherical shell and a total charge $- q $ is placed on the shell.

Charge $- q $ is distributed on the surfaces as

Assertion : In a cavity within a conductor, the electric field is zero.

Reason : Charges in a conductor reside only at its surface