Two infinitely long parallel conducting plates having surface charge densities `+ sigma` and `-sigma` respectively, are seperated by a small distance. The medium between the plates is vacuum. If `epsilon_(0)` is the dielectric permittivity of vacumm, then the electric field in the region between the plates is

Options

A. `(sigma)/(2 epsilon_(0))`
B. `(sigma)/(epsilon_(0))`
C. 0
D. none of these

Answer

B

Explanation

The magnitude of the electric field between the plates is
`E = (sigma)/(2epsilon_(0)) - (-(sigma)/(2 epsilon_(0))) = (sigma)/(epsilon_(0))`