Question

Find the direction of electric field at point $\text{P}$ for the uniform line charge distribution of finite length as shown in figure, if line OP is equidistant from both the ends.

• A. Along positive $x-$ axis
• B. Along negative $x-$ axis
• C. Along positive $y-$ axis
• D. Along negative $y-$ axis

Answer 1

The correct option is A Along positive $x-$ axis

Consider a small elemental charge $+dq$ charge, on either side of x-axis as shown.

Electric field due to these elemental charges is as shown,
From the above figure, we can say that
$y-$ components of electric field intensity will cancel each other, and $x-$ components will be added. Hence net electric field due to given charge distribution is directed towards $+x$-axis.