The potential of the electric field produced by a point charge at any point (x, y, z) is given by; V=3 x2+5 where x, y, z are in metre and V is in volt. The intensity of the electric field at (-2,1,0) is:

Question

The potential of the electric field produced by a point charge at any point (x, y, z) is given by; V=3 x2+5 where x, y, z are in metre and V is in volt. The intensity of the electric field at (-2,1,0) is: (A) +17 Vm -1 (B) -17 Vm -1 (C) +12 Vm -1 (D) -12 Vm -1

Tardigrade Admin · Accepted Answer

V=3 x2+5 E=-(d V/d x)=-6 x Intensity of the electric field at x=-2 =-6(-2)=12 V / m

Q. The potential of the electric field produced by a point charge at any point $(x, y, z)$ is given by; $V = 3 x^{2} + 5$ where $x$ , y, $z$ are in metre and $V$ is in volt. The intensity of the electric field at $(- 2, 1, 0)$ is:

$+ 17 V m^{- 1}$

$- 17 V m^{- 1}$

$+ 12 V m^{- 1}$

$- 12 V m^{- 1}$

$V = 3 x^{2} + 5$
$E = - \frac{d V}{d x} = - 6 x$
Intensity of the electric field at $x = - 2$
$= - 6 (- 2) = 12 V / m$

Q. The potential of the electric field produced by a point charge at any point (x,y,z) is given by; V=3x2+5 where x, y, z are in metre and V is in volt. The intensity of the electric field at (−2,1,0) is:

+17Vm−1

−17Vm−1

+12Vm−1

−12Vm−1