Two point charges $+q$ and $-q$ are held fixed at $(-d, 0)$ and $(+d, 0)$ respectively of a $(x, y)$ coordinate system. Then

  • A

    $E$ at all points on the $y-axis$ is along $\hat i$

  • B

    The electric field $\overrightarrow E$ at all points on the $x-axis$ has the direction along $\hat i$

  • C

    Dipole moment is $2qd$ directed along $\hat i$

  • D

    Work has to be done in bringing a test charge from infinity to the origin

Similar Questions

The electric field $\vec E$  between two points is constant in both magnitude and direction. Consider a path of length d at an angle $\theta  = 60^o$  with respect to field lines shown in figure. The potential difference between points  $1$ and $2$  is

Consider a solid insulating sphere of radius $R$ with charge density varying as $\rho = \rho _0r^2$ ($\rho _0$ is a constant and $r$ is measure from centre). Consider two points $A$ and $B$ at distance $x$ and $y$ respectively $(x < R, y > R)$ from the centre. If magnitudes of electric fields at points $A$ and $B$ are equal, then 

Find the equivalent capacitance across $A$ $\&$ $B$ ........$\mu f$

The electrostatic potential inside a charged spherical ball is given by $\phi = ar^2 + b$ where $r$ is the distance from the centre $a,\,b$ are constants. Then the charge density inside the ball is

Three capacitors $1, 2$ and $4\,\mu F$ are connected in series to a $10\, volts$ source. The charge on the plates of middle capacitor is