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The electric potential V at any point (x...

The electric potential V at any point (x, y, z) in space is given by `V=3x^(2)` where x, y, z are all in metre. The electric field at the point (1 m, 0, 2 m) is

A

`6Vm^(-1)` along negative x-axis

B

`6Vm^(-1)` along positive x-axis

C

`12Vm^(-1)` along negative x-axis

D

`12Vm^(-1)` along positive x-axis

Text Solution

Verified by Experts

The correct Answer is:
A
Electric potential `V=3x^(2)`
`E=-(dV)/(dx)`
`E=(d)/(dx)(3x^(3))`
`E=-6x`
At the point `(1,0,2)`
Electric field `E=6xx1=-6V//m`
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