If on the $x$-axis electric potential decreases uniformly from $60 \,V$ to $20 \,V$ between $x=-2 \,m$ to $x=+2 \,m$, then the magnitude of electric field at the origin
Must be $10 \,V / m$
May be greater than $10 \,V / m$
Is zero
Is $5 \,V / m$
The figure gives the electric potential $V$ as a function of distance through five regions on $x$-axis. Which of the following is true for the electric field $E$ in these regions
$A, B$ and $C$ are three points in a uniform electric field. The electric potential is
The electric potential in a region is represented as $V = 2x + 3y -z$ ; then the expression of electric field strength is
Determine the electric field strength vector if the potential of this field depends on $x, y$ coordinates as $V=10$ axy
In a certain region of space, the potential is given by : $V = k[2x^2 - y^2 + z^2].$ The electric field at the point $(1, 1, 1) $ has magnitude =