A thin metallic spherical shell of radius r c | vedclass

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

Question

(D) $1$. The electric field inside a conducting spherical shell is zero because the charges on the shell redistribute themselves to cancel any interna

Vedclass · Accepted Answer

$0, \frac{q_2}{4 \pi \varepsilon_0} \frac{Q+q_1}{x^2}$

Vedclass · Answer

(D) $1$. The electric field inside a conducting spherical shell is zero because the charges on the shell redistribute themselves to cancel any internal field. Therefore, the force on the charge $q_1$ placed at the centre is $F_1 = q_1 	imes E_{in} = q_1 	imes 0 = 0$.$2$. For the charge $q_2$ placed outside the shell at a distance $x$ from the centre, the shell acts as a point charge $Q$ located at its centre (by Gauss's Law). Additionally, the charge $q_1$ at the centre also exerts a force on $q_2$.$3$. The total electric field at the position of $q_2$ is the sum of the fields produced by $Q$ and $q_1$, which is $E_{total} = \frac{1}{4 \pi \varepsilon_0} \frac{Q}{x^2} + \frac{1}{4 \pi \varepsilon_0} \frac{q_1}{x^2} = \frac{1}{4 \pi \varepsilon_0} \frac{Q+q_1}{x^2}$.$4$. The force on $q_2$ is $F_2 = q_2 	imes E_{total} = \frac{q_2}{4 \pi \varepsilon_0} \frac{Q+q_1}{x^2}$.

$A$ thin metallic spherical shell of radius $r$ contains a charge $Q$ on its surface. $A$ point charge $q_1$ is placed at the centre of the shell and another charge $q_2$ is placed outside the shell at a distance $x$ from the centre. Then, the forces on charges $q_1$ and $q_2$ respectively are

Similar Questions

The surface charge density of a thin charged disc of radius $R$ is $\sigma$. The value of the electric field at the centre of the disc is $\frac{\sigma}{2\epsilon_0}$. With respect to the field at the centre,the electric field along the axis at a distance $R$ from the centre of the disc:

An infinite line charge produces a field of $7.182 \times 10^8 \, N/C$ at a distance of $2 \, cm$. The linear charge density is

$A$ spherical 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. Find the final charge distribution on the surfaces.

$A$ long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral. Then

Vedclass Test Series

Exam Paper Generator

Online Exam Module