The electric potential V at any point (x, y, z), all in

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The electric potential V at any point (x, y, z), all in meters in space is given by V = 4x² volt. The electric field at the point (1, 0, 2) in volt/meter is

1. 8 along positive X-axis
2. 16 along negative X-axis
3. 16 along positive X-axis
4. 8 along negative X-axis

Correct Option: D

E^{^→} = -		dv	î +	dv	ĵ +	dv	k̂
		dx		dy		dz

= -8 × î volt/meter
∴ E^{^→} = -8î V / m