An infinite, uniformly charged sheet with surface charge density $\sigma$ cuts through a spherical Gaussian surface of radius $R$ at a distance $x$ from its center, as shown in the figure. The electric flux $\Phi $ through the Gaussian surface is
An infinite, uniformly charged sheet with surface charge density $\sigma$ cuts through a spherical Gaussian surface of radius $R$ at a distance $x$ from its center, as shown in the figure. The electric flux $\Phi $ through the Gaussian surface is
- A
$\frac{{\pi {R^2}\sigma }}{{{\varepsilon _0}}}$
- B
$\frac{{2\pi {{\left( {{R^2} - {x^2}} \right)}^{}}\sigma }}{{{\varepsilon _0}}}$
- C
$\frac{{\pi {{\left( {R - x} \right)}^2}\sigma }}{{{\varepsilon _0}}}$
- D
$\frac{{\pi {{\left( {{R^2} - {x^2}} \right)}^{}}\sigma }}{{{\varepsilon _0}}}$
Similar Questions
Gauss’s law should be invalid if
Gauss’s law should be invalid if
The given figure gives electric lines of force due to two charges $q_1$ and $q_2$. What are the signs of the two charges?
The given figure gives electric lines of force due to two charges $q_1$ and $q_2$. What are the signs of the two charges?
- [AIPMT 1994]
A charge $Q\;\mu C$ is placed at the centre of a cube, the flux coming out from any surfaces will be
A charge $Q\;\mu C$ is placed at the centre of a cube, the flux coming out from any surfaces will be
- [AIPMT 2001]
Electric field in a region is uniform and is given by $\vec{E}=a \hat{i}+b \hat{j}+c \hat{k}$. Electric flux associated with a surface of area $\vec{A}=\pi R^2 \hat{i}$ is
Electric field in a region is uniform and is given by $\vec{E}=a \hat{i}+b \hat{j}+c \hat{k}$. Electric flux associated with a surface of area $\vec{A}=\pi R^2 \hat{i}$ is
Figure shows the electric field lines around three point charges $A, \,B$ and $C$.
$(a)$ Which charges are positive ?
$(b)$ Which charge has the largest magnitude ? Why ?
$(c)$ In which region or regions of the picture could the electric field be zero ? Justify your answer.
$(i)$ Near $A$ $(ii)$ Near $B$ $(iii)$ Near $C$ $(iv)$ Nowhere
Figure shows the electric field lines around three point charges $A, \,B$ and $C$.
$(a)$ Which charges are positive ?
$(b)$ Which charge has the largest magnitude ? Why ?
$(c)$ In which region or regions of the picture could the electric field be zero ? Justify your answer.
$(i)$ Near $A$ $(ii)$ Near $B$ $(iii)$ Near $C$ $(iv)$ Nowhere