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The electric potential V(z, y,z) for a p...

The electric potential `V(z, y,z)` for a planar charge distribution is given by:
`V(x, y, z)={(0,,"for "x lt -d),(-V_(0)(1+x/d)^(2),,"for "-d le x le 0),(-V_(0)(1+2x/d),,"for "0 le x lt d),(-3V_(0),,"for " x gt d):}`
where `-V_(0)` is the potential at the origin and d is a distance. Graph of electric field as a function of position is given as

A

B

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The correct Answer is:
A
`E=(-dv)/(dx)`
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