Three infinitely long charge sheets are placed as shown in figure. The electric field at point `P` is

Options

A. `(2 sigma)/(epsilon_(0)) hat(k)`
B. `-(2 sigma)/(epsilon_(0)) hat(k)`
C. `(4 sigma)/(epsilon_(0)) hat(k)`
D. `-(4sigma)/(epsilon_(0)) hat(k)`

Answer

2

Explanation

At `P` : Electric field due to
(i) `sigma , vec(E )_(1) = - (sigma)/(2 in_(0)) hat(k)`
`-2 sigma , vec(E )_(2) = - (2 sigma)/(2 in_(0)) hat(k)`
(iii) `-sigma , vec(E )_(3) = - (sigma)/(2 in_(0)) hat(k)`
`vec( E)_(P) = vec(E )_(1) + vec(E )_(2) + vec(E )_(3) = - (2 sigma)/( in_(0)) hat(k)`