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
Statement $1$ is true, Statement $2$ is true,
Statement $2$ is the correct explanation of Statement $1$
Statement $1$ is true, Statement $2$ is true,
Statement $2$ is not the correct explanation of Statement $1$
Statement $1$ is true, Statement $2$ is false
Statement $1$ is false, Statement $2$ 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
Three equal charges are placed at the corners of an equilateral triangle. Which of the graphs below correctly depicts the equally-spaced equipotential surfaces in the plane of the triangle? (All graphs have the same scale.)
Describe schematically the equipotential surfaces corresponding to
$(a)$ a constant electric field in the $z-$direction,
$(b)$ a field that uniformly increases in magnitude but remains in a constant (say, $z$) direction,
$(c)$ a single positive charge at the origin, and
$(d)$ a uniform grid consisting of long equally spaced parallel charged wires in a plane
The angle between the electric lines of force and the equipotential surface is