Question

Figure Q26.1 shows the $x$-component of $\overrightarrow{E}$as a function of $x$. Draw a graph of $V\mathrm{versus}x$in this same region of space. Let $V=0V\mathrm{at}x=0m$and include an appropriate vertical scale.

Short answer

The required graph is

Step-by-step solution

: Given information and formula used  

Given :

$V=0V\mathrm{at}x=0m$in the graph :

Theory used :

Electric field is the negative slope (“derivative” or “gradient”) of the potential.

$\overrightarrow{E}=-\frac{\Delta V}{\Delta x}$

Potential energy is related to electric potential by the charge. It only makes sense if you know the sign & magnitude of the test charge you want to use.

Drawing a graph of V versus x 

Since $\overrightarrow{E}=-\frac{\Delta V}{\Delta x}$,so the required graph is :