The given figure shows the variation of electric potential V as a function of distance x. The graph for the variation of electric field E as a function of distance x is: |
The correct answer is Option (2) → $E=-\frac{dV}{dx}.$ $0\le x\le2:\;V\text{ increases linearly } \Rightarrow \frac{dV}{dx}>0.$ $E=\text{constant negative.}$ $2\le x\le4:\;V=\text{constant } \Rightarrow \frac{dV}{dx}=0.$ $E=0.$ $4\le x\le6:\;V\text{ decreases linearly } \Rightarrow \frac{dV}{dx}<0.$ $E=\text{constant positive.}$ $E(x)$ is constant negative for $0\le x\le2$, zero for $2\le x\le4$, and constant positive for $4\le x\le6$. |