If the electric potential at a point on the s | vedclass

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

Question

(A) For a hollow conducting sphere,the electric charge resides entirely on its outer surface. Inside the sphere,the electric field is zero $(E = 0)$.

Vedclass · Accepted Answer

$V$

Vedclass · Answer

(A) For a hollow conducting sphere,the electric charge resides entirely on its outer surface. Inside the sphere,the electric field is zero $(E = 0)$. Since the electric field is the negative gradient of the potential $(E = -\frac{dV}{dr})$,if $E = 0$,then the potential $V$ must be constant throughout the interior of the sphere. Therefore,the potential at any point inside the sphere is equal to the potential at its surface. Given that the potential at the surface is $V$,the potential at a distance $\frac{R}{3}$ from the centre (which is inside the sphere) is also $V$.

If the electric potential at a point on the surface of a hollow conducting sphere of radius $R$ is $V$,then the electric potential at a point which is at distance $\frac{R}{3}$ from the centre of the sphere is

Similar Questions

Inside a hollow charged spherical conductor,the potential

Charges of $+ \frac{10}{3} \times 10^{-9} \, C$ are placed at each of the four corners of a square of side $8 \, cm$. The potential at the intersection of the diagonals is

Three concentric metallic shells $A, B$ and $C$ of radii $a, b$ and $c$ $(a < b < c)$ have surface charge densities $+\sigma, -\sigma$ and $+\sigma$ respectively. The potential of shell $B$ is

There are four concentric shells $A, B, C$ and $D$ of radii $a, 2a, 3a$ and $4a$ respectively. Shells $B$ and $D$ are given charges $+q$ and $-q$ respectively. Shell $C$ is now earthed. The potential difference $V_A - V_C$ is:

Electric charges of $+10\,\mu C, +5\,\mu C, -3\,\mu C$ and $+8\,\mu C$ are placed at the corners of a square of side $\sqrt{2}\,m$. The potential at the centre of the square is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module