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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`.

Text Solution

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`V=4x^(2)V`
The electric potential changes only along x-axis. We know that
`E_(x)=(-dv)/(dx)=-(d)/(dx)(4x^(2))=-8x`
The electric field at point `(1,0,2)` will be (here `x=1`)
`E_(x)=-8V`
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