The following figure represents the electric potential as a function of x -coordinate Plot the corresponding electric field as a function of x.

Explanation

In the given problem since the potential depends only on x we can use `vecE=-(dV)/(dx)-hati`
(the other two terms `(partialV)/(partialy) "and " (partialV)/(partialz)` are zero )
From 0 to 1 cm the slope is constant and so `(dV)/(dx) =25 Vcm^(-1)` . So `vecE=-25V cm^(-1) hati`
From 1 to 4 cm the potential is constant V = 25 V . It implies that `(dV)/(dx)=0`. So `vecE=0`
From 4 to 5 cm the slope `(dV)/(dx) = -25 V cm^(-1)`
So `vecE=+25V cm^(-1)hati`
The plot of electric field for the various points along the x axis is given below .