Two large parallel plane sheets have uniform charge densities + `sigma and -sigma.` Determine the electric field (i) between the sheets, and (ii) outside the sheets.

Options

A. `sigma//epsilon_(0)`
B. `sigma//2epsilon_(0)`
C. `2sigma//epsilon_(0)`
D. zero

Answer

A

Explanation

` E = E_(1) - E_(2) = (sigma)/(2 epsilon_(0)) - ((- sigma)/(2 epsilon_(0)))= (sigma)/( 2 epsilon_(0)) = sigma // epsilon_(0)`
The field intensity in between sheets having equal and opposite uniform surface densities of charge becomes constant. ie, an uniform electric field is produced and it is independent of the distance between the sheets.