An empty thick conducting shell of inner radi | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) According to the properties of a conducting shell,the electric field inside the material of the conductor is zero. When a charge $q_A$ is placed i

Vedclass · Accepted Answer

None of these.

Vedclass · Answer

(D) According to the properties of a conducting shell,the electric field inside the material of the conductor is zero. When a charge $q_A$ is placed inside the cavity of a conducting shell,an equal and opposite charge $-q_A$ is induced on the inner surface of the shell to ensure the electric field inside the conductor material remains zero. This induced charge $-q_A$ distributes itself on the inner surface such that it cancels the electric field produced by $q_A$ everywhere inside the conductor material. As the charge $q_A$ is moved inside the cavity,the distribution of the induced charge $-q_A$ on the inner surface changes to maintain the zero electric field condition inside the conductor. However,the total charge on the inner surface remains $-q_A$ and the total charge on the outer surface remains constant. Since the electric field outside the shell depends only on the total charge of the shell and the charge $q_A$ inside,and the shell acts as an electrostatic shield,the electric field outside the shell does not change. Therefore,the force on any charge outside the shell remains unchanged. Since the question asks about the effect of moving $q_A$ inside,none of the provided options $A$,$B$,or $C$ correctly describe the physical situation as the force on $q_A$ itself is not well-defined without an external field,and the charge distribution on the outer surface does not change.

List-$I$	List-$II$
$P$. $E$ is independent of $d$	$1$. $A$ point charge $Q$ at the origin
$Q$. $E \propto \frac{1}{d}$	$2$. $A$ small dipole with point charges $Q$ at $(0, 0, l)$ and $-Q$ at $(0, 0, -l)$. Take $2l \ll d$.
$R$. $E \propto \frac{1}{d^2}$	$3$. An infinite line charge coincident with the $x$-axis,with uniform linear charge density $\lambda$
$S$. $E \propto \frac{1}{d^3}$	$4$. Two infinite wires carrying uniform linear charge density parallel to the $x$-axis. The one along $(y=0, z=l)$ has a charge density $+\lambda$ and the one along $(y=0, z=-l)$ has a charge density $-\lambda$. Take $2l \ll d$
	$5$. Infinite plane with uniform surface charge density

Similar Questions

Which of the following patterns of electric field lines is $NOT$ possible for an electrostatic field due to static charges?

$A$ long cylindrical shell carries positive surface charge $\sigma$ in the upper half and negative surface charge $-\sigma$ in the lower half. The electric field lines around the cylinder will look like the figure given in:

Two charges,each equal to $q$,are kept at $x = -a$ and $x = a$ on the $x$-axis. $A$ particle of mass $m$ and charge $q_0 = \frac{q}{2}$ is placed at the origin. If charge $q_0$ is given a small displacement $(y << a)$ along the $y$-axis,the net force acting on the particle is proportional to

Vedclass Test Series

Exam Paper Generator

Online Exam Module