If the electric potential at any point $(x, y, z) \,m$ in space is given by $V =3 x ^{2}$ volt. The electric field at the point $(1,0,3) \,m$ will be ............
A$3 \,Vm ^{-1}$, directed along positive $x$-axis
B$3 \,Vm ^{-1}$, directed along negative $x$-axis
C$6 \,Vm ^{-1}$, directed along positive $x$-axis
D$6 \,Vm ^{-1}$, directed along negative $x$-axis
JEE MAIN 2022, Easy
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D$6 \,Vm ^{-1}$, directed along negative $x$-axis
d $E _{ x }=-\frac{\partial V }{\partial x }=-6 x$
At $(1,0,3)$
$\overrightarrow{ E }=-6 \,V / m \hat{ i }$
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Electric potential at a point $P$ due to a point charge of $5 \times 10^{-9}\; C$ is $50 \;V$. The distance of $P$ from the point charge is ......... $cm$
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