A line charge that has a positive uniform linear charge density $$ lies along the $x$ axis

from $x=x_1$ to $x=x_2$ where $x(0,y)y{E}_x=(\frac{k}{y})[cos{}_2-cos{}_1]tan{}_1=\frac{x_1}{y}tan{}_2=\frac{x_2}{y}y0y{x}_1.$ Show that the $x$ component $of$ the electric field $ata$

point $(0,y)on$ the $y-$axis $is$ given $by$

$E_x=(\frac{k}{y})[cos{}_2-cos{}_1]$

where $tan{}_1=\frac{x_1}{y}$ and $tan{}_2=\frac{x_2}{y}$ and $y0.$

This will $be$ similar $to$ the work $we$ did $in$ class $to$ find the $y$ component.