Target Exam

CUET

Subject

Physics

Chapter

Electric Charges and Fields

Question:

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:

Options:

Correct Answer:

Explanation:

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 $4\le x\le6$.