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The electric potential V at any point (x,y,z) all in meters in space is given by

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 V/m is

Options

(a) 8 along positive X-axis
(b) 16 along negative X-axis
(c) 16 along positive X-axis
(d) 8 along negative X-axis

Correct Answer:

8 along negative X-axis

Explanation:

E⃗ = – [dv/ dx i + dv/ dy j + dv/ dz k]
= -8 x i V/m
E⃗(1,0,2) = -8i V/m

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