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
$(i)$ Electric field lines of $A$ and $C$ are outwards. Hence, charges of $A$ and $C$ are positive.
$(ii)$ No. of Electric field lines from $C$ is maximum. Hence, magnitude of charge $C$ is maximum.
$(iii)$ Electric field lines of like charges are opposite to each other. Hence, the electric field can be zero between $\mathrm{A}$ and $\mathrm{C}$ only.
The magnitude of charge at $\mathrm{C}$ is greater than that at $\mathrm{A}$. Hence, the electric field is zero at point near $A.$
A cubical region of side a has its centre at the origin. It encloses three fixed point charges, $-q$ at $(0,-a / 4,0),+$ $3 q$ at $(0,0,0)$ and $-q$ at $(0,+a / 4,0)$. Choose the correct option$(s)$.
$(A)$ The net electric flux crossing the plane $x=+a / 2$ is equal to the net electric flux crossing the plane $x=-a / 2$.
$(B)$ The net electric flux crossing the plane $y=+a / 2$ is more than the net electric flux crossing the plane $y=-a / 2$
$(C)$ The net electric flux crossing the entire region is $\frac{q}{\varepsilon_0}$.
$(D)$ The net electric flux crossing the plane $z=+a / 2$ is equal to the net electric flux crossing the plane $x=+a / 2$.
$q_1, q_2, q_3$ and $q_4$ are point charges located at point as shown in the figure and $S$ is a spherical Gaussian surface of radius $R$. Which of the following is true according to the Gauss's law
The spatial distribution of the electric field due to charges $(A, B)$ is shown in figure. Which one of the following statements is correct
How does the no. of electric field lines passing through unit area depend on distance ?
A cylinder of radius $R$ and length $L$ is placed in a uniform electric field $E$ parallel to the cylinder axis. The total flux for the surface of the cylinder is given by-