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

The electric potential V at any point x, y, z (all in meters) in space is given by `V=4x^2` volts. The electric field at the point (1m, 0, 2m) is……………..`V//m`.

A

`-8`

B

`-4`

C

`-2`

D

`zero`

Text Solution

Verified by Experts

The correct Answer is:
A
Here `V = 4x^(2)`
`E_(x) = - (dV)/(dx) = -8x`,
`E_(y) = - (dV)/(dy) = 0`,
`E_(z) = - (dV)/(dz) = 0`
`:. E = -8 x hat(i)`
At point `(1 m,0.2 m)`.
`vec(E) = -8xx1 hat(i)`
`= -8 hat(i) Vm^(-1)`
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