Write an expression for potential at the point outside a uniformly charged spherical shell outside on the surface and inside the shell.
Write an expression for potential at the point outside a uniformly charged spherical shell outside on the surface and inside the shell.
We have seen in chapter $1$ that for a uniformly charged spherical shell, the electric field outside the shell is as if the entire charge is concentrated at the centre and electric field obtained due to point charge.
The potential outside the shell and on the surface of shell,
$\mathrm{V}=\frac{k q}{r}(r \geq \mathrm{R})$
where $q$ is the total charge on the shell
$\mathrm{R}$ is the radius of the shell
$k$ is the coulomb's constant
The electric field at a point inside the shell is zero. Means the potential inside the shell is constant and its magnitude is same as potential at the surface of the shell.
$\therefore \mathrm{V}=\frac{k q}{\mathrm{R}}(r \leq \mathrm{R})$
Similar Questions
Can the potential function have a maximum or minimum in free space ? Explain.
Can the potential function have a maximum or minimum in free space ? Explain.
A hollow conducting sphere of radius $R$ has a charge $( + Q)$ on its surface. What is the electric potential within the sphere at a distance $r = \frac{R}{3}$ from its centre
A hollow conducting sphere of radius $R$ has a charge $( + Q)$ on its surface. What is the electric potential within the sphere at a distance $r = \frac{R}{3}$ from its centre
Two charged conducting spheres of radii $a$ and $b$ are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is:
Two charged conducting spheres of radii $a$ and $b$ are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is:
- [JEE MAIN 2024]
A cube of side $b$ has a charge $q$ at each of its vertices. Determine the potential and electric field due to this charge array at the centre of the cube.
A cube of side $b$ has a charge $q$ at each of its vertices. Determine the potential and electric field due to this charge array at the centre of the cube.
Find the potential $V$ of an electrostatic field $\vec E = a\left( {y\hat i + x\hat j} \right)$, where $a$ is a constant.
Find the potential $V$ of an electrostatic field $\vec E = a\left( {y\hat i + x\hat j} \right)$, where $a$ is a constant.