(B) For a point outside a spherically symmetric charge distribution,the entire charge can be considered to be concentrated at its center. Given: Total

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(B) For a point outside a spherically symmetric charge distribution,the entire charge can be considered to be concentrated at its center. Given: Total charge $q = 5 \ nC = 5 \times 10^{-9} \ C$. Distance $r = 15 \ cm = 0.15 \ m = 15 \times 10^{-2} \ m$. The electric potential $V$ at a distance $r$ from a point charge $q$ is given by: $V = \frac{1}{4 \pi \epsilon_0} \frac{q}{r} = \frac{k q}{r}$ Substituting the values: $V = \frac{9 \times 10^9 \times 5 \times 10^{-9}}{15 \times 10^{-2}}$ $V = \frac{45}{0.15} = \frac{4500}{15} = 300 \ V$ Therefore,the electric potential at point $P$ is $300 \ V$.

Class 12 Physics Electric Potential and Capacitance Electric potential

Medium

The figure shows a solid hemisphere with a charge of $5 \ nC$ distributed uniformly throughout its volume. The hemisphere lies on a plane and point $P$ is located on this plane,along a radial line from the center of curvature at a distance of $15 \ cm$. The electric potential at point $P$ due to the hemisphere is ..... $V$.

A
$150$
B
$300$
C
$450$
D
$600$

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Class 12

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Electric Potential and Capacitance

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Electric potential

Along the $x$-axis,three charges $\frac{q}{2}, -q$ and $\frac{q}{2}$ are placed at $x=0, x=a$ and $x=2a$ respectively. The resultant electric potential at a point $P$ located at a distance $r$ from the charge $-q$ $(r > a)$ is ($\varepsilon_0$ is the permittivity of free space):

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Two unlike charges of magnitude $q$ are separated by a distance $2d$. The potential at a point midway between them is

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Two concentric hollow spheres of radii $r$ and $R$ $(R > r)$ have the same surface charge density $\sigma$. The total charge $Q$ is distributed between them. The electric potential at the common center is:

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Two concentric hollow conducting spheres of radius $r$ and $R$ $(r < R)$ are shown. The charge on the outer shell is $Q$. What charge $q$ should be given to the inner sphere so that the potential at any point $P$ at a distance $x$ $(x > R)$ from the center is zero?

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The electrostatic potential $V$ at a point on the circumference of a thin non-conducting disk of radius $r$ and uniform charge density $\sigma$ is given by the equation $V = 4 \sigma r$. Which of the following expressions correctly represents the electrostatic energy stored in the electric field of a similarly charged disk of radius $R$?

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Along the $x$-axis,three charges $\frac{q}{2}, -q$ and $\frac{q}{2}$ are placed at $x=0, x=a$ and $x=2a$ respectively. The resultant electric potential at a point $P$ located at a distance $r$ from the charge $-q$ $(r > a)$ is ($\varepsilon_0$ is the permittivity of free space):

Two unlike charges of magnitude $q$ are separated by a distance $2d$. The potential at a point midway between them is

Two concentric hollow spheres of radii $r$ and $R$ $(R > r)$ have the same surface charge density $\sigma$. The total charge $Q$ is distributed between them. The electric potential at the common center is:

Two concentric hollow conducting spheres of radius $r$ and $R$ $(r < R)$ are shown. The charge on the outer shell is $Q$. What charge $q$ should be given to the inner sphere so that the potential at any point $P$ at a distance $x$ $(x > R)$ from the center is zero?

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