The electric flux passing through the cube for the given arrangement of charges placed at the corners of the cube (as shown in the figure) is
$\phi = \frac{1}{{2{ \in _0}}}$
$\phi = \frac{{ - 1}}{{2{ \in _0}}}$
$\phi = \frac{{ - 1}}{{{ \in _0}}}$
$\phi = \frac{1}{{{ \in _0}}}$
Each of two large conducting parallel plates has one sided surface area $A$. If one of the plates is given a charge $Q$ whereas the other is neutral, then the electric field at a point in between the plates is given by
An ellipsoidal cavity is carved within a perfect conductor. A positive charge $q$ is placed at the centre of the cavity. The points $A$ and $B$ are on the cavity surface as shown in the figure. Then
An electric line of force in the $xy$ plane is given by equation ${x^2} + {y^2} = 1$. A particle with unit positive charge, initially at rest at the point $x = 1,\;y = 0$ in the $xy$ plane
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
The charge $q$ on a capacitor varies with voltage as shown in figure. The area of the triangle $AOB $ represents