A solid spherical conducting shell has inner radius a and outer radius 2a . At center of the&nb

English

Gujarati

Hindi

2. Electric Potential and Capacitance

medium

A solid spherical conducting shell has inner radius a and outer radius $2a$. At the center of the shell is located a point charge $+Q$. What must the excess charge of the shell be in order for the charge density on the inner and outer surfaces of the shell to be exactly equal ?

A

$-5Q$

B

$+3Q$

C

$-4Q$

D

$+4Q$

Solution

$\frac{\mathrm{Q}+\mathrm{q}}{4 \pi(2 \mathrm{a})^{2}}=\frac{-\mathrm{Q}}{4 \pi \mathrm{a}^{2}}$

$\frac{\mathrm{Q}+\mathrm{q}}{4}=-\mathrm{Q}$

$\mathrm{Q}+\mathrm{q}=-4 \mathrm{Q}$

$q=-5 Q$

Standard 12

Physics

Share

Similar Questions

If electric potential of the inner sphere is $10\, volt$ and that of the outer shell is $50\, volt$ then potential at common centre 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

hard

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 another point charge $q_B$ is also placed at a distance $c ( > b) $ the center of shell, then choose the correct statements

hard

Explain electrostatics of conductors. Explain the effects produced inside a metallic conductor placed in an external electric field.

medium

Figure shows a solid conducting sphere of radius $1 m$, enclosed by a metallic shell of radius $3 \,m$ such that their centres coincide. If outer shell is given a charge of $6 \,\mu C$ and inner sphere is earthed, find magnitude charge on the surface of inner shell is …………. $\mu C$

medium