Three infinitely long linear charges of charge density $\lambda $ , $\lambda $ and $-2\lambda $ are placed in space. A point in space is specified by its perpendicular distance $r_1 , r_2 $ and $ r_3$ respectively from the linear charges. For the points which are equipotential
$\frac{{{r_1}{r_2}}}{{r_3^2}} = $ constant
${r_1}{r_2}{r_3}^2 = $ constant
${r_1}{r_2}{r_3}^{1/2} = $ constant
${r_1}{r_2}{r_3} = $ constant
The diagrams below show regions of equipotentials.A positive charge is moved from $A$ to $B$ in each diagram.
Two conducting hollow sphere of radius $R$ and $3R$ are found to have $Q$ charge on outer surface when both are connected with a long wire and $q'$ charge is kept at the centre of bigger sphere. Then which one is true
Electric field is always ...... to the equipotential surface at every point. (Fill in the gap)
The equation of an equipotential line in an electric field is $y = 2x$, then the electric field strength vector at $(1, 2)$ may be
This question has Statement $-1$ and Statement $-2$ Of the four choices given after the Statements, choose the one that best describes the two Statements
Statement $1$ : No work is required to be done to move a test charge between any two points on an equipotential surface
Statement $2$ : Electric lines of force at the equipotential surfaces are mutually perpendicular to each other