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The electri potential V at any point O (...

The electri potential V at any point O (x, y, z all in metres) in space is given by `V = 4x^(2)V`. The electric field at the point `(1m,0,2m)` in volt `"metre"^(-1)` is

A

8 along negative X - axis

B

8 along positive X - axis

C

16 along negative X - axis

D

16 along positive X - axis

Text Solution

Verified by Experts

The correct Answer is:
A
`vecE=-[hati(deltaV)/(deltax)+hatj(deltaV)/(deltay)+hatk(deltaV)/(deltaz)]`
`vecE=-[hati(8x)]`
`vecE_("(1,0,2)")=-8hati`
So electric field is 8 along negative x-axis.
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