A conducting sphere of radius R is given a ch | vedclass

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

Question

(A) For a conducting sphere,the charge $Q$ resides entirely on its outer surface.Inside a conducting sphere,the electric field $E$ is zero everywhere

Vedclass · Accepted Answer

zero and $\frac{Q}{4 \pi \epsilon_0 R}$

Vedclass · Answer

(A) For a conducting sphere,the charge $Q$ resides entirely on its outer surface.Inside a conducting sphere,the electric field $E$ is zero everywhere because there is no enclosed charge $(q_{enclosed} = 0)$ according to Gauss's Law.Since the electric field is zero inside the sphere,the potential $V$ is constant throughout the interior and is equal to the potential at the surface.The potential at the surface (and thus at the centre) is given by $V = \frac{Q}{4 \pi \epsilon_0 R}$.Therefore,the electric field at the centre is $0$ and the electric potential at the centre is $\frac{Q}{4 \pi \epsilon_0 R}$.

$A$ conducting sphere of radius $R$ is given a charge $Q$ uniformly. The electric field and the electric potential at the centre of the sphere are respectively [$\epsilon_0 =$ permittivity of free space].

Similar Questions

Two tiny spheres carrying charges $1.8 \mu C$ and $2.8 \mu C$ are located $40 \ cm$ apart. The potential at the mid-point of the line joining the two charges is:

$A$ charge $+q$ is placed at the origin $O$ of $X-Y$ axes as shown in the figure. The work done in taking a charge $Q$ from $A$ to $B$ along the straight line $AB$ is

$A$ charged spherical conductor has radius '$r$'. The potential difference between its surface and a point at a distance '$3r$' from the center is '$V$'. The electric intensity at a distance '$3r$' from the center of the conductor is:

On moving a charge of $20 \; C$ by $2 \; cm$,$2 \; J$ of work is done. The potential difference between the points is (in $V$):

Two identical thin rings each of radius $R \text{ m}$ are kept on the same axis at a distance of $R \text{ m}$ apart. If the charges on them are $10 \text{ C}$ and $5 \text{ C}$ respectively,calculate the work done in moving a charge '$q$' coulomb from the centre of one ring to that of another.

Vedclass Test Series

Exam Paper Generator

Online Exam Module