The electric potential V at a point P(x, y, z) in space is given by V=4 x2 volt. Electric field at a point (1 m, 0,2 m ) in V / m is

Question

The electric potential V at a point P(x, y, z) in space is given by V=4 x2 volt. Electric field at a point (1 m, 0,2 m ) in V / m is (A) 8 along -ve x-axis (B) 8 along +ve x-axis (C) 16 along -ve x-axis (D) 16 along +ve x-axis

Tardigrade Admin · Accepted Answer

V=4 x2 Ex=(-d V/d x)=-8 x Ex=-8

Q. The electric potential $V$ at a point $P (x, y, z)$ in space is given by $V = 4 x^{2}$ volt. Electric field at a point $(1 m$ , $0, 2 m$ ) in $V / m$ is

8 along -ve x-axis

8 along +ve x-axis

16 along -ve x-axis

16 along +ve x-axis

$V = 4 x^{2}$
$E_{x} = \frac{- d V}{d x} = - 8 x$
$E_{x} = - 8$

Q. The electric potential V at a point P(x,y,z) in space is given by V=4x2 volt. Electric field at a point (1m, 0,2m ) in V/m is