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. `0 "volt" m^(-1)`
B. `sigma//2epsilon_(0)"volt"m^(-1)`
C. `sigma//epsilon_(0)"volt"m^(-1)`
D. `z sigma// epsilon_(0)"volt"m^(-1)`

Answer

C

Explanation

Between the plates i.e. in the region II as shwon in the figure, electric field is given by

`E=1/(2 epsilon_(0)) (sigma-(1)-sigma_(2))=1/(2 epsilon_(0))xx 2 sigma=(sigma)/(epsilon_(0)) Vm^(-1)`