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The following figure represents the electric potential as a function of x -coordinate Plot thecorresponding electric field as a function of x. |
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Answer» Solution :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 ) From0 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 . 
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