(B) For a solid sphere of radius $R$ with uniform volume charge density $\rho$,the electric field $E$ is given by:$1$. Inside the sphere $(r < R)$: $E

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The object must be a solid sphere with uniform volume charge density.

(B) For a solid sphere of radius $R$ with uniform volume charge density $\rho$,the electric field $E$ is given by:$1$. Inside the sphere $(r $2$. Outside the sphere $(r \geq R)$: $E = \frac{Q}{4\pi\epsilon_0 r^2}$,which implies $E \propto \frac{1}{r^2}$.The given graph shows $E$ increasing linearly with $r$ until a maximum value at the surface,and then decreasing as $1/r^2$ for $r > R$. This behavior is characteristic of a uniformly charged solid sphere.

Class 12 Physics Electric Charges and Fields Electric Field and usage of Gauss's Law

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The figure shows the graph of electric field $E(r)$ versus distance $(r)$ from the center of an object. Therefore,...

A
The object must be a charged conducting solid.
B
The object must be a solid sphere with uniform volume charge density.
C
The object must be a solid cube with uniform volume charge density.
D
The object must be a charged conducting sphere.

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Electric Charges and Fields

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Electric Field and usage of Gauss's Law

The total charge enclosed in an incremental volume of $2 \times 10^{-9} \, m^{3}$ located at the origin is ...... $nC$,if the electric flux density of its field is given by $\vec{D} = e^{-x} \sin y \hat{i} - e^{-x} \cos y \hat{j} + 2z \hat{k} \, C/m^{2}$.

DifficultJEE MAIN 2021

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$\sigma$ is the uniform surface charge density of a thin spherical shell of radius $R$. The electric field at any point on the surface of the spherical shell is:

DifficultJEE MAIN 2024

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Three infinitely long charge sheets are placed as shown in the figure. The electric field at point $P$ is

MediumIIT 2005

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

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The electric potential in a region around the origin is given by $V(x) = 4x^2$. The total charge enclosed in a cube of side $1 \ m$ centered at the origin is (in Coulombs) ...

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The figure shows the graph of electric field $E(r)$ versus distance $(r)$ from the center of an object. Therefore,...

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The total charge enclosed in an incremental volume of $2 \times 10^{-9} \, m^{3}$ located at the origin is ...... $nC$,if the electric flux density of its field is given by $\vec{D} = e^{-x} \sin y \hat{i} - e^{-x} \cos y \hat{j} + 2z \hat{k} \, C/m^{2}$.

$\sigma$ is the uniform surface charge density of a thin spherical shell of radius $R$. The electric field at any point on the surface of the spherical shell is:

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